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Finding the Fourth Proportional to 316.80, 474.50 and 309.05

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Solution

The fourth proportional to 316.80, 474.50 and 309.05 is: 462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 474.50 = 309.05 : x
  2. Step 2: Convert to fraction form
    316.80/474.50 = 309.05/x
  3. Step 3: Cross multiply
    316.80x = 474.50 × 309.05
  4. Step 4: Simplify right side
    316.80x = 146,640.31
  5. Step 5: Solve for x
    x = 146,640.31/316.80
  6. Step 6: Final answer
    x = 462.88

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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.