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Finding the Fourth Proportional to 467.30, 645.15 and 301.76

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Solution

The fourth proportional to 467.30, 645.15 and 301.76 is: 416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.30 : 645.15 = 301.76 : x
  2. Step 2: Convert to fraction form
    467.30/645.15 = 301.76/x
  3. Step 3: Cross multiply
    467.30x = 645.15 × 301.76
  4. Step 4: Simplify right side
    467.30x = 194,680.46
  5. Step 5: Solve for x
    x = 194,680.46/467.30
  6. Step 6: Final answer
    x = 416.61

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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.