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Finding the Fourth Proportional to 61.17, 91.22 and 60.21

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Solution

The fourth proportional to 61.17, 91.22 and 60.21 is: 89.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.17 : 91.22 = 60.21 : x
  2. Step 2: Convert to fraction form
    61.17/91.22 = 60.21/x
  3. Step 3: Cross multiply
    61.17x = 91.22 × 60.21
  4. Step 4: Simplify right side
    61.17x = 5,492.06
  5. Step 5: Solve for x
    x = 5,492.06/61.17
  6. Step 6: Final answer
    x = 89.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.