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Finding the Fourth Proportional to 417.02, 575.70 and 269.78

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Solution

The fourth proportional to 417.02, 575.70 and 269.78 is: 372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.02 : 575.70 = 269.78 : x
  2. Step 2: Convert to fraction form
    417.02/575.70 = 269.78/x
  3. Step 3: Cross multiply
    417.02x = 575.70 × 269.78
  4. Step 4: Simplify right side
    417.02x = 155,309.47
  5. Step 5: Solve for x
    x = 155,309.47/417.02
  6. Step 6: Final answer
    x = 372.42

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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.