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Finding the Fourth Proportional to 461.23, 691.87 and 153.11

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Solution

The fourth proportional to 461.23, 691.87 and 153.11 is: 229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.23 : 691.87 = 153.11 : x
  2. Step 2: Convert to fraction form
    461.23/691.87 = 153.11/x
  3. Step 3: Cross multiply
    461.23x = 691.87 × 153.11
  4. Step 4: Simplify right side
    461.23x = 105,929.72
  5. Step 5: Solve for x
    x = 105,929.72/461.23
  6. Step 6: Final answer
    x = 229.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.