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Finding the Fourth Proportional to 143.59, 213.78 and 142.90

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Solution

The fourth proportional to 143.59, 213.78 and 142.90 is: 212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.59 : 213.78 = 142.90 : x
  2. Step 2: Convert to fraction form
    143.59/213.78 = 142.90/x
  3. Step 3: Cross multiply
    143.59x = 213.78 × 142.90
  4. Step 4: Simplify right side
    143.59x = 30,547.38
  5. Step 5: Solve for x
    x = 30,547.38/143.59
  6. Step 6: Final answer
    x = 212.75

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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.