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Finding the Fourth Proportional to 52.58, 78.89 and 16.52

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Solution

The fourth proportional to 52.58, 78.89 and 16.52 is: 24.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.58 : 78.89 = 16.52 : x
  2. Step 2: Convert to fraction form
    52.58/78.89 = 16.52/x
  3. Step 3: Cross multiply
    52.58x = 78.89 × 16.52
  4. Step 4: Simplify right side
    52.58x = 1,302.79
  5. Step 5: Solve for x
    x = 1,302.79/52.58
  6. Step 6: Final answer
    x = 24.78

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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.