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Finding the Fourth Proportional to 145.12, 217.65 and 42.42

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Solution

The fourth proportional to 145.12, 217.65 and 42.42 is: 63.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.12 : 217.65 = 42.42 : x
  2. Step 2: Convert to fraction form
    145.12/217.65 = 42.42/x
  3. Step 3: Cross multiply
    145.12x = 217.65 × 42.42
  4. Step 4: Simplify right side
    145.12x = 9,232.71
  5. Step 5: Solve for x
    x = 9,232.71/145.12
  6. Step 6: Final answer
    x = 63.62

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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.