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Finding the Fourth Proportional to 53.59, 80.04 and 41.40

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Solution

The fourth proportional to 53.59, 80.04 and 41.40 is: 61.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.59 : 80.04 = 41.40 : x
  2. Step 2: Convert to fraction form
    53.59/80.04 = 41.40/x
  3. Step 3: Cross multiply
    53.59x = 80.04 × 41.40
  4. Step 4: Simplify right side
    53.59x = 3,313.66
  5. Step 5: Solve for x
    x = 3,313.66/53.59
  6. Step 6: Final answer
    x = 61.83

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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.