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Finding the Fourth Proportional to 158.42, 239.07 and 152.99

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Solution

The fourth proportional to 158.42, 239.07 and 152.99 is: 230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.42 : 239.07 = 152.99 : x
  2. Step 2: Convert to fraction form
    158.42/239.07 = 152.99/x
  3. Step 3: Cross multiply
    158.42x = 239.07 × 152.99
  4. Step 4: Simplify right side
    158.42x = 36,574.73
  5. Step 5: Solve for x
    x = 36,574.73/158.42
  6. Step 6: Final answer
    x = 230.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.