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Finding the Fourth Proportional to 51.38, 70.87 and 32.93

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Solution

The fourth proportional to 51.38, 70.87 and 32.93 is: 45.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 70.87 = 32.93 : x
  2. Step 2: Convert to fraction form
    51.38/70.87 = 32.93/x
  3. Step 3: Cross multiply
    51.38x = 70.87 × 32.93
  4. Step 4: Simplify right side
    51.38x = 2,333.75
  5. Step 5: Solve for x
    x = 2,333.75/51.38
  6. Step 6: Final answer
    x = 45.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.