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Finding the Fourth Proportional to 58.68, 80.82 and 52.47

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Solution

The fourth proportional to 58.68, 80.82 and 52.47 is: 72.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.68 : 80.82 = 52.47 : x
  2. Step 2: Convert to fraction form
    58.68/80.82 = 52.47/x
  3. Step 3: Cross multiply
    58.68x = 80.82 × 52.47
  4. Step 4: Simplify right side
    58.68x = 4,240.63
  5. Step 5: Solve for x
    x = 4,240.63/58.68
  6. Step 6: Final answer
    x = 72.27

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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.