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Finding the Fourth Proportional to 423.02, 634.66 and 149.17

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Solution

The fourth proportional to 423.02, 634.66 and 149.17 is: 223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.02 : 634.66 = 149.17 : x
  2. Step 2: Convert to fraction form
    423.02/634.66 = 149.17/x
  3. Step 3: Cross multiply
    423.02x = 634.66 × 149.17
  4. Step 4: Simplify right side
    423.02x = 94,670.10
  5. Step 5: Solve for x
    x = 94,670.10/423.02
  6. Step 6: Final answer
    x = 223.79

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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.