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Finding the Fourth Proportional to 142.81, 213.88 and 97.02

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Solution

The fourth proportional to 142.81, 213.88 and 97.02 is: 145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.81 : 213.88 = 97.02 : x
  2. Step 2: Convert to fraction form
    142.81/213.88 = 97.02/x
  3. Step 3: Cross multiply
    142.81x = 213.88 × 97.02
  4. Step 4: Simplify right side
    142.81x = 20,750.64
  5. Step 5: Solve for x
    x = 20,750.64/142.81
  6. Step 6: Final answer
    x = 145.30

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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.