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Finding the Fourth Proportional to 52.61, 72.53 and 43.82

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Solution

The fourth proportional to 52.61, 72.53 and 43.82 is: 60.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.61 : 72.53 = 43.82 : x
  2. Step 2: Convert to fraction form
    52.61/72.53 = 43.82/x
  3. Step 3: Cross multiply
    52.61x = 72.53 × 43.82
  4. Step 4: Simplify right side
    52.61x = 3,178.05
  5. Step 5: Solve for x
    x = 3,178.05/52.61
  6. Step 6: Final answer
    x = 60.41

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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.