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Finding the Fourth Proportional to 55, 82.57 and 30.97

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Solution

The fourth proportional to 55, 82.57 and 30.97 is: 46.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55 : 82.57 = 30.97 : x
  2. Step 2: Convert to fraction form
    55/82.57 = 30.97/x
  3. Step 3: Cross multiply
    55x = 82.57 × 30.97
  4. Step 4: Simplify right side
    55x = 2,557.19
  5. Step 5: Solve for x
    x = 2,557.19/55
  6. Step 6: Final answer
    x = 46.49

Related Problems

Find fourth proportional to 27.50, 41.29 and 15.49
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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.