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Finding the Fourth Proportional to 52.50, 72.43 and 31.78

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Solution

The fourth proportional to 52.50, 72.43 and 31.78 is: 43.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 72.43 = 31.78 : x
  2. Step 2: Convert to fraction form
    52.50/72.43 = 31.78/x
  3. Step 3: Cross multiply
    52.50x = 72.43 × 31.78
  4. Step 4: Simplify right side
    52.50x = 2,301.83
  5. Step 5: Solve for x
    x = 2,301.83/52.50
  6. Step 6: Final answer
    x = 43.84

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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.