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Finding the Fourth Proportional to 57.61, 79.55 and 41.29

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Solution

The fourth proportional to 57.61, 79.55 and 41.29 is: 57.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.61 : 79.55 = 41.29 : x
  2. Step 2: Convert to fraction form
    57.61/79.55 = 41.29/x
  3. Step 3: Cross multiply
    57.61x = 79.55 × 41.29
  4. Step 4: Simplify right side
    57.61x = 3,284.02
  5. Step 5: Solve for x
    x = 3,284.02/57.61
  6. Step 6: Final answer
    x = 57.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.