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Finding the Fourth Proportional to 142.70, 213.98 and 60.35

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Solution

The fourth proportional to 142.70, 213.98 and 60.35 is: 90.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.70 : 213.98 = 60.35 : x
  2. Step 2: Convert to fraction form
    142.70/213.98 = 60.35/x
  3. Step 3: Cross multiply
    142.70x = 213.98 × 60.35
  4. Step 4: Simplify right side
    142.70x = 12,912.32
  5. Step 5: Solve for x
    x = 12,912.32/142.70
  6. Step 6: Final answer
    x = 90.49

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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.