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Finding the Fourth Proportional to 417.35, 575.75 and 270.03

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Solution

The fourth proportional to 417.35, 575.75 and 270.03 is: 372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.35 : 575.75 = 270.03 : x
  2. Step 2: Convert to fraction form
    417.35/575.75 = 270.03/x
  3. Step 3: Cross multiply
    417.35x = 575.75 × 270.03
  4. Step 4: Simplify right side
    417.35x = 155,472.61
  5. Step 5: Solve for x
    x = 155,472.61/417.35
  6. Step 6: Final answer
    x = 372.52

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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.