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Finding the Fourth Proportional to 52.80, 73.04 and 43.20

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Solution

The fourth proportional to 52.80, 73.04 and 43.20 is: 59.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.80 : 73.04 = 43.20 : x
  2. Step 2: Convert to fraction form
    52.80/73.04 = 43.20/x
  3. Step 3: Cross multiply
    52.80x = 73.04 × 43.20
  4. Step 4: Simplify right side
    52.80x = 3,155.33
  5. Step 5: Solve for x
    x = 3,155.33/52.80
  6. Step 6: Final answer
    x = 59.76

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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.