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Finding the Fourth Proportional to 417.70, 576.32 and 270.16

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Solution

The fourth proportional to 417.70, 576.32 and 270.16 is: 372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.70 : 576.32 = 270.16 : x
  2. Step 2: Convert to fraction form
    417.70/576.32 = 270.16/x
  3. Step 3: Cross multiply
    417.70x = 576.32 × 270.16
  4. Step 4: Simplify right side
    417.70x = 155,697.13
  5. Step 5: Solve for x
    x = 155,697.13/417.70
  6. Step 6: Final answer
    x = 372.75

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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.