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Finding the Fourth Proportional to 53.42, 80.47 and 53.15

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Solution

The fourth proportional to 53.42, 80.47 and 53.15 is: 80.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.42 : 80.47 = 53.15 : x
  2. Step 2: Convert to fraction form
    53.42/80.47 = 53.15/x
  3. Step 3: Cross multiply
    53.42x = 80.47 × 53.15
  4. Step 4: Simplify right side
    53.42x = 4,276.98
  5. Step 5: Solve for x
    x = 4,276.98/53.42
  6. Step 6: Final answer
    x = 80.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.