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Finding the Fourth Proportional to 321.31, 478.15 and 317.89

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Solution

The fourth proportional to 321.31, 478.15 and 317.89 is: 473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.31 : 478.15 = 317.89 : x
  2. Step 2: Convert to fraction form
    321.31/478.15 = 317.89/x
  3. Step 3: Cross multiply
    321.31x = 478.15 × 317.89
  4. Step 4: Simplify right side
    321.31x = 151,999.10
  5. Step 5: Solve for x
    x = 151,999.10/321.31
  6. Step 6: Final answer
    x = 473.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.