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Finding the Fourth Proportional to 52.50, 72.57 and 40.85

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Solution

The fourth proportional to 52.50, 72.57 and 40.85 is: 56.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 72.57 = 40.85 : x
  2. Step 2: Convert to fraction form
    52.50/72.57 = 40.85/x
  3. Step 3: Cross multiply
    52.50x = 72.57 × 40.85
  4. Step 4: Simplify right side
    52.50x = 2,964.48
  5. Step 5: Solve for x
    x = 2,964.48/52.50
  6. Step 6: Final answer
    x = 56.47

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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.