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Finding the Fourth Proportional to 467.03, 699.13 and 311.71

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Solution

The fourth proportional to 467.03, 699.13 and 311.71 is: 466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.03 : 699.13 = 311.71 : x
  2. Step 2: Convert to fraction form
    467.03/699.13 = 311.71/x
  3. Step 3: Cross multiply
    467.03x = 699.13 × 311.71
  4. Step 4: Simplify right side
    467.03x = 217,925.81
  5. Step 5: Solve for x
    x = 217,925.81/467.03
  6. Step 6: Final answer
    x = 466.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.