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Finding the Fourth Proportional to 56.61, 85.42 and 54.50

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Solution

The fourth proportional to 56.61, 85.42 and 54.50 is: 82.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.61 : 85.42 = 54.50 : x
  2. Step 2: Convert to fraction form
    56.61/85.42 = 54.50/x
  3. Step 3: Cross multiply
    56.61x = 85.42 × 54.50
  4. Step 4: Simplify right side
    56.61x = 4,655.47
  5. Step 5: Solve for x
    x = 4,655.47/56.61
  6. Step 6: Final answer
    x = 82.24

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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.