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Finding the Fourth Proportional to 318.01, 435.08 and 316.65

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Solution

The fourth proportional to 318.01, 435.08 and 316.65 is: 433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.01 : 435.08 = 316.65 : x
  2. Step 2: Convert to fraction form
    318.01/435.08 = 316.65/x
  3. Step 3: Cross multiply
    318.01x = 435.08 × 316.65
  4. Step 4: Simplify right side
    318.01x = 137,764.32
  5. Step 5: Solve for x
    x = 137,764.32/318.01
  6. Step 6: Final answer
    x = 433.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.