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Finding the Fourth Proportional to 423.75, 634.71 and 240.60

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Solution

The fourth proportional to 423.75, 634.71 and 240.60 is: 360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.75 : 634.71 = 240.60 : x
  2. Step 2: Convert to fraction form
    423.75/634.71 = 240.60/x
  3. Step 3: Cross multiply
    423.75x = 634.71 × 240.60
  4. Step 4: Simplify right side
    423.75x = 152,711.23
  5. Step 5: Solve for x
    x = 152,711.23/423.75
  6. Step 6: Final answer
    x = 360.38

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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.