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Finding the Fourth Proportional to 152.41, 225.76 and 150.79

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Solution

The fourth proportional to 152.41, 225.76 and 150.79 is: 223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.41 : 225.76 = 150.79 : x
  2. Step 2: Convert to fraction form
    152.41/225.76 = 150.79/x
  3. Step 3: Cross multiply
    152.41x = 225.76 × 150.79
  4. Step 4: Simplify right side
    152.41x = 34,042.35
  5. Step 5: Solve for x
    x = 34,042.35/152.41
  6. Step 6: Final answer
    x = 223.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.