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Finding the Fourth Proportional to 153.72, 229.14 and 149.67

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Solution

The fourth proportional to 153.72, 229.14 and 149.67 is: 223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.72 : 229.14 = 149.67 : x
  2. Step 2: Convert to fraction form
    153.72/229.14 = 149.67/x
  3. Step 3: Cross multiply
    153.72x = 229.14 × 149.67
  4. Step 4: Simplify right side
    153.72x = 34,295.38
  5. Step 5: Solve for x
    x = 34,295.38/153.72
  6. Step 6: Final answer
    x = 223.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.