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Finding the Fourth Proportional to 316.32, 471.90 and 301.20

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Solution

The fourth proportional to 316.32, 471.90 and 301.20 is: 449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.32 : 471.90 = 301.20 : x
  2. Step 2: Convert to fraction form
    316.32/471.90 = 301.20/x
  3. Step 3: Cross multiply
    316.32x = 471.90 × 301.20
  4. Step 4: Simplify right side
    316.32x = 142,136.28
  5. Step 5: Solve for x
    x = 142,136.28/316.32
  6. Step 6: Final answer
    x = 449.34

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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.