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Finding the Fourth Proportional to 45.55, 62.87 and 31

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Solution

The fourth proportional to 45.55, 62.87 and 31 is: 42.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.55 : 62.87 = 31 : x
  2. Step 2: Convert to fraction form
    45.55/62.87 = 31/x
  3. Step 3: Cross multiply
    45.55x = 62.87 × 31
  4. Step 4: Simplify right side
    45.55x = 1,948.97
  5. Step 5: Solve for x
    x = 1,948.97/45.55
  6. Step 6: Final answer
    x = 42.79

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