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Finding the Fourth Proportional to 65.40, 97.50 and 61.38

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Solution

The fourth proportional to 65.40, 97.50 and 61.38 is: 91.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.40 : 97.50 = 61.38 : x
  2. Step 2: Convert to fraction form
    65.40/97.50 = 61.38/x
  3. Step 3: Cross multiply
    65.40x = 97.50 × 61.38
  4. Step 4: Simplify right side
    65.40x = 5,984.55
  5. Step 5: Solve for x
    x = 5,984.55/65.40
  6. Step 6: Final answer
    x = 91.51

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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.