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Finding the Fourth Proportional to 53.65, 80.43 and 49.15

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Solution

The fourth proportional to 53.65, 80.43 and 49.15 is: 73.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.65 : 80.43 = 49.15 : x
  2. Step 2: Convert to fraction form
    53.65/80.43 = 49.15/x
  3. Step 3: Cross multiply
    53.65x = 80.43 × 49.15
  4. Step 4: Simplify right side
    53.65x = 3,953.13
  5. Step 5: Solve for x
    x = 3,953.13/53.65
  6. Step 6: Final answer
    x = 73.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.