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Finding the Fourth Proportional to 145.12, 217.62 and 140.80

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Solution

The fourth proportional to 145.12, 217.62 and 140.80 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.12 : 217.62 = 140.80 : x
  2. Step 2: Convert to fraction form
    145.12/217.62 = 140.80/x
  3. Step 3: Cross multiply
    145.12x = 217.62 × 140.80
  4. Step 4: Simplify right side
    145.12x = 30,640.90
  5. Step 5: Solve for x
    x = 30,640.90/145.12
  6. Step 6: Final answer
    x = 211.14

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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.