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Finding the Fourth Proportional to 55.09, 76 and 37.61

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Solution

The fourth proportional to 55.09, 76 and 37.61 is: 51.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.09 : 76 = 37.61 : x
  2. Step 2: Convert to fraction form
    55.09/76 = 37.61/x
  3. Step 3: Cross multiply
    55.09x = 76 × 37.61
  4. Step 4: Simplify right side
    55.09x = 2,858.36
  5. Step 5: Solve for x
    x = 2,858.36/55.09
  6. Step 6: Final answer
    x = 51.89

Related Problems

Find fourth proportional to 27.55, 38 and 18.81
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.