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Finding the Fourth Proportional to 438.04, 657.06 and 149.56

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Solution

The fourth proportional to 438.04, 657.06 and 149.56 is: 224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.04 : 657.06 = 149.56 : x
  2. Step 2: Convert to fraction form
    438.04/657.06 = 149.56/x
  3. Step 3: Cross multiply
    438.04x = 657.06 × 149.56
  4. Step 4: Simplify right side
    438.04x = 98,269.89
  5. Step 5: Solve for x
    x = 98,269.89/438.04
  6. Step 6: Final answer
    x = 224.34

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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.