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Finding the Fourth Proportional to 417.80, 576.21 and 313.14

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Solution

The fourth proportional to 417.80, 576.21 and 313.14 is: 431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.80 : 576.21 = 313.14 : x
  2. Step 2: Convert to fraction form
    417.80/576.21 = 313.14/x
  3. Step 3: Cross multiply
    417.80x = 576.21 × 313.14
  4. Step 4: Simplify right side
    417.80x = 180,433.41
  5. Step 5: Solve for x
    x = 180,433.41/417.80
  6. Step 6: Final answer
    x = 431.87

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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.