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Finding the Fourth Proportional to 53.76, 79.92 and 49.20

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Solution

The fourth proportional to 53.76, 79.92 and 49.20 is: 73.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.76 : 79.92 = 49.20 : x
  2. Step 2: Convert to fraction form
    53.76/79.92 = 49.20/x
  3. Step 3: Cross multiply
    53.76x = 79.92 × 49.20
  4. Step 4: Simplify right side
    53.76x = 3,932.06
  5. Step 5: Solve for x
    x = 3,932.06/53.76
  6. Step 6: Final answer
    x = 73.14

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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.