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Finding the Fourth Proportional to 158.72, 239.48 and 152.40

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Solution

The fourth proportional to 158.72, 239.48 and 152.40 is: 229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.72 : 239.48 = 152.40 : x
  2. Step 2: Convert to fraction form
    158.72/239.48 = 152.40/x
  3. Step 3: Cross multiply
    158.72x = 239.48 × 152.40
  4. Step 4: Simplify right side
    158.72x = 36,496.75
  5. Step 5: Solve for x
    x = 36,496.75/158.72
  6. Step 6: Final answer
    x = 229.94

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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.