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Finding the Fourth Proportional to 423.19, 634.88 and 149.48

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Solution

The fourth proportional to 423.19, 634.88 and 149.48 is: 224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.19 : 634.88 = 149.48 : x
  2. Step 2: Convert to fraction form
    423.19/634.88 = 149.48/x
  3. Step 3: Cross multiply
    423.19x = 634.88 × 149.48
  4. Step 4: Simplify right side
    423.19x = 94,900.32
  5. Step 5: Solve for x
    x = 94,900.32/423.19
  6. Step 6: Final answer
    x = 224.25

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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.