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Finding the Fourth Proportional to 70.38, 105.47 and 51.15

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Solution

The fourth proportional to 70.38, 105.47 and 51.15 is: 76.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.38 : 105.47 = 51.15 : x
  2. Step 2: Convert to fraction form
    70.38/105.47 = 51.15/x
  3. Step 3: Cross multiply
    70.38x = 105.47 × 51.15
  4. Step 4: Simplify right side
    70.38x = 5,394.53
  5. Step 5: Solve for x
    x = 5,394.53/70.38
  6. Step 6: Final answer
    x = 76.65

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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.