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Finding the Fourth Proportional to 417.76, 576.11 and 270.34

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Solution

The fourth proportional to 417.76, 576.11 and 270.34 is: 372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 576.11 = 270.34 : x
  2. Step 2: Convert to fraction form
    417.76/576.11 = 270.34/x
  3. Step 3: Cross multiply
    417.76x = 576.11 × 270.34
  4. Step 4: Simplify right side
    417.76x = 155,744.81
  5. Step 5: Solve for x
    x = 155,744.81/417.76
  6. Step 6: Final answer
    x = 372.81

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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.