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Finding the Fourth Proportional to 52.38, 78.03 and 51.30

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Solution

The fourth proportional to 52.38, 78.03 and 51.30 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.38 : 78.03 = 51.30 : x
  2. Step 2: Convert to fraction form
    52.38/78.03 = 51.30/x
  3. Step 3: Cross multiply
    52.38x = 78.03 × 51.30
  4. Step 4: Simplify right side
    52.38x = 4,002.94
  5. Step 5: Solve for x
    x = 4,002.94/52.38
  6. Step 6: Final answer
    x = 76.42

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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.