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Finding the Fourth Proportional to 52.47, 78.75 and 40.50

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Solution

The fourth proportional to 52.47, 78.75 and 40.50 is: 60.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.47 : 78.75 = 40.50 : x
  2. Step 2: Convert to fraction form
    52.47/78.75 = 40.50/x
  3. Step 3: Cross multiply
    52.47x = 78.75 × 40.50
  4. Step 4: Simplify right side
    52.47x = 3,189.38
  5. Step 5: Solve for x
    x = 3,189.38/52.47
  6. Step 6: Final answer
    x = 60.78

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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.