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Finding the Fourth Proportional to 55.74, 76.91 and 31.17

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Solution

The fourth proportional to 55.74, 76.91 and 31.17 is: 43.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.74 : 76.91 = 31.17 : x
  2. Step 2: Convert to fraction form
    55.74/76.91 = 31.17/x
  3. Step 3: Cross multiply
    55.74x = 76.91 × 31.17
  4. Step 4: Simplify right side
    55.74x = 2,397.07
  5. Step 5: Solve for x
    x = 2,397.07/55.74
  6. Step 6: Final answer
    x = 43.01

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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.