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Finding the Fourth Proportional to 61.11, 84.30 and 37.80

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Solution

The fourth proportional to 61.11, 84.30 and 37.80 is: 52.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.11 : 84.30 = 37.80 : x
  2. Step 2: Convert to fraction form
    61.11/84.30 = 37.80/x
  3. Step 3: Cross multiply
    61.11x = 84.30 × 37.80
  4. Step 4: Simplify right side
    61.11x = 3,186.54
  5. Step 5: Solve for x
    x = 3,186.54/61.11
  6. Step 6: Final answer
    x = 52.14

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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.