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Finding the Fourth Proportional to 145.74, 218.52 and 54.42

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Solution

The fourth proportional to 145.74, 218.52 and 54.42 is: 81.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 218.52 = 54.42 : x
  2. Step 2: Convert to fraction form
    145.74/218.52 = 54.42/x
  3. Step 3: Cross multiply
    145.74x = 218.52 × 54.42
  4. Step 4: Simplify right side
    145.74x = 11,891.86
  5. Step 5: Solve for x
    x = 11,891.86/145.74
  6. Step 6: Final answer
    x = 81.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.