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Finding the Fourth Proportional to 316.80, 475.62 and 313.14

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Solution

The fourth proportional to 316.80, 475.62 and 313.14 is: 470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 475.62 = 313.14 : x
  2. Step 2: Convert to fraction form
    316.80/475.62 = 313.14/x
  3. Step 3: Cross multiply
    316.80x = 475.62 × 313.14
  4. Step 4: Simplify right side
    316.80x = 148,935.65
  5. Step 5: Solve for x
    x = 148,935.65/316.80
  6. Step 6: Final answer
    x = 470.13

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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.