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Finding the Fourth Proportional to 65.13, 97.01 and 62.22

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Solution

The fourth proportional to 65.13, 97.01 and 62.22 is: 92.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.13 : 97.01 = 62.22 : x
  2. Step 2: Convert to fraction form
    65.13/97.01 = 62.22/x
  3. Step 3: Cross multiply
    65.13x = 97.01 × 62.22
  4. Step 4: Simplify right side
    65.13x = 6,035.96
  5. Step 5: Solve for x
    x = 6,035.96/65.13
  6. Step 6: Final answer
    x = 92.68

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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.