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Finding the Fourth Proportional to 55.16, 76 and 51.64

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Solution

The fourth proportional to 55.16, 76 and 51.64 is: 71.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.16 : 76 = 51.64 : x
  2. Step 2: Convert to fraction form
    55.16/76 = 51.64/x
  3. Step 3: Cross multiply
    55.16x = 76 × 51.64
  4. Step 4: Simplify right side
    55.16x = 3,924.64
  5. Step 5: Solve for x
    x = 3,924.64/55.16
  6. Step 6: Final answer
    x = 71.15

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Find fourth proportional to 27.58, 38 and 25.82
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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.