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Finding the Fourth Proportional to 467.81, 645.61 and 310.17

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Solution

The fourth proportional to 467.81, 645.61 and 310.17 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.81 : 645.61 = 310.17 : x
  2. Step 2: Convert to fraction form
    467.81/645.61 = 310.17/x
  3. Step 3: Cross multiply
    467.81x = 645.61 × 310.17
  4. Step 4: Simplify right side
    467.81x = 200,248.08
  5. Step 5: Solve for x
    x = 200,248.08/467.81
  6. Step 6: Final answer
    x = 428.06

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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.