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Finding the Fourth Proportional to 53.42, 80.15 and 51.02

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Solution

The fourth proportional to 53.42, 80.15 and 51.02 is: 76.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.42 : 80.15 = 51.02 : x
  2. Step 2: Convert to fraction form
    53.42/80.15 = 51.02/x
  3. Step 3: Cross multiply
    53.42x = 80.15 × 51.02
  4. Step 4: Simplify right side
    53.42x = 4,088.90
  5. Step 5: Solve for x
    x = 4,088.90/53.42
  6. Step 6: Final answer
    x = 76.55

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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.