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Finding the Fourth Proportional to 61.66, 85.08 and 35.78

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Solution

The fourth proportional to 61.66, 85.08 and 35.78 is: 49.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.66 : 85.08 = 35.78 : x
  2. Step 2: Convert to fraction form
    61.66/85.08 = 35.78/x
  3. Step 3: Cross multiply
    61.66x = 85.08 × 35.78
  4. Step 4: Simplify right side
    61.66x = 3,044.16
  5. Step 5: Solve for x
    x = 3,044.16/61.66
  6. Step 6: Final answer
    x = 49.37

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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.