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Finding the Fourth Proportional to 438.69, 657.83 and 149.92

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Solution

The fourth proportional to 438.69, 657.83 and 149.92 is: 224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.69 : 657.83 = 149.92 : x
  2. Step 2: Convert to fraction form
    438.69/657.83 = 149.92/x
  3. Step 3: Cross multiply
    438.69x = 657.83 × 149.92
  4. Step 4: Simplify right side
    438.69x = 98,621.87
  5. Step 5: Solve for x
    x = 98,621.87/438.69
  6. Step 6: Final answer
    x = 224.81

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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.