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Finding the Fourth Proportional to 435.62, 600.93 and 269.78

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Solution

The fourth proportional to 435.62, 600.93 and 269.78 is: 372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.62 : 600.93 = 269.78 : x
  2. Step 2: Convert to fraction form
    435.62/600.93 = 269.78/x
  3. Step 3: Cross multiply
    435.62x = 600.93 × 269.78
  4. Step 4: Simplify right side
    435.62x = 162,115.89
  5. Step 5: Solve for x
    x = 162,115.89/435.62
  6. Step 6: Final answer
    x = 372.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.