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Finding the Fourth Proportional to 65.16, 97.76 and 52.40

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Solution

The fourth proportional to 65.16, 97.76 and 52.40 is: 78.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.16 : 97.76 = 52.40 : x
  2. Step 2: Convert to fraction form
    65.16/97.76 = 52.40/x
  3. Step 3: Cross multiply
    65.16x = 97.76 × 52.40
  4. Step 4: Simplify right side
    65.16x = 5,122.62
  5. Step 5: Solve for x
    x = 5,122.62/65.16
  6. Step 6: Final answer
    x = 78.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.