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Finding the Fourth Proportional to 53.65, 79.92 and 52.24

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Solution

The fourth proportional to 53.65, 79.92 and 52.24 is: 77.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.65 : 79.92 = 52.24 : x
  2. Step 2: Convert to fraction form
    53.65/79.92 = 52.24/x
  3. Step 3: Cross multiply
    53.65x = 79.92 × 52.24
  4. Step 4: Simplify right side
    53.65x = 4,175.02
  5. Step 5: Solve for x
    x = 4,175.02/53.65
  6. Step 6: Final answer
    x = 77.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.