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Finding the Fourth Proportional to 317.92, 473.30 and 316.38

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Solution

The fourth proportional to 317.92, 473.30 and 316.38 is: 471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.92 : 473.30 = 316.38 : x
  2. Step 2: Convert to fraction form
    317.92/473.30 = 316.38/x
  3. Step 3: Cross multiply
    317.92x = 473.30 × 316.38
  4. Step 4: Simplify right side
    317.92x = 149,742.65
  5. Step 5: Solve for x
    x = 149,742.65/317.92
  6. Step 6: Final answer
    x = 471.01

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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.