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Finding the Fourth Proportional to 317.53, 473.70 and 308.71

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Solution

The fourth proportional to 317.53, 473.70 and 308.71 is: 460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.53 : 473.70 = 308.71 : x
  2. Step 2: Convert to fraction form
    317.53/473.70 = 308.71/x
  3. Step 3: Cross multiply
    317.53x = 473.70 × 308.71
  4. Step 4: Simplify right side
    317.53x = 146,235.93
  5. Step 5: Solve for x
    x = 146,235.93/317.53
  6. Step 6: Final answer
    x = 460.54

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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.