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Finding the Fourth Proportional to 53.92, 80.48 and 47.02

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Solution

The fourth proportional to 53.92, 80.48 and 47.02 is: 70.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.92 : 80.48 = 47.02 : x
  2. Step 2: Convert to fraction form
    53.92/80.48 = 47.02/x
  3. Step 3: Cross multiply
    53.92x = 80.48 × 47.02
  4. Step 4: Simplify right side
    53.92x = 3,784.17
  5. Step 5: Solve for x
    x = 3,784.17/53.92
  6. Step 6: Final answer
    x = 70.18

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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.