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Finding the Fourth Proportional to 61.85, 85.38 and 37.31

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Solution

The fourth proportional to 61.85, 85.38 and 37.31 is: 51.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.85 : 85.38 = 37.31 : x
  2. Step 2: Convert to fraction form
    61.85/85.38 = 37.31/x
  3. Step 3: Cross multiply
    61.85x = 85.38 × 37.31
  4. Step 4: Simplify right side
    61.85x = 3,184.91
  5. Step 5: Solve for x
    x = 3,184.91/61.85
  6. Step 6: Final answer
    x = 51.50

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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.