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Finding the Fourth Proportional to 145.74, 217.47 and 132.78

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Solution

The fourth proportional to 145.74, 217.47 and 132.78 is: 198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 217.47 = 132.78 : x
  2. Step 2: Convert to fraction form
    145.74/217.47 = 132.78/x
  3. Step 3: Cross multiply
    145.74x = 217.47 × 132.78
  4. Step 4: Simplify right side
    145.74x = 28,875.67
  5. Step 5: Solve for x
    x = 28,875.67/145.74
  6. Step 6: Final answer
    x = 198.13

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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.