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Finding the Fourth Proportional to 152.39, 209.90 and 142.31

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Solution

The fourth proportional to 152.39, 209.90 and 142.31 is: 196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.39 : 209.90 = 142.31 : x
  2. Step 2: Convert to fraction form
    152.39/209.90 = 142.31/x
  3. Step 3: Cross multiply
    152.39x = 209.90 × 142.31
  4. Step 4: Simplify right side
    152.39x = 29,870.87
  5. Step 5: Solve for x
    x = 29,870.87/152.39
  6. Step 6: Final answer
    x = 196.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.