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Finding the Fourth Proportional to 417.87, 576.86 and 270.59

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Solution

The fourth proportional to 417.87, 576.86 and 270.59 is: 373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.87 : 576.86 = 270.59 : x
  2. Step 2: Convert to fraction form
    417.87/576.86 = 270.59/x
  3. Step 3: Cross multiply
    417.87x = 576.86 × 270.59
  4. Step 4: Simplify right side
    417.87x = 156,088.31
  5. Step 5: Solve for x
    x = 156,088.31/417.87
  6. Step 6: Final answer
    x = 373.53

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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.