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Finding the Fourth Proportional to 317.25, 473.31 and 314.82

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Solution

The fourth proportional to 317.25, 473.31 and 314.82 is: 469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.25 : 473.31 = 314.82 : x
  2. Step 2: Convert to fraction form
    317.25/473.31 = 314.82/x
  3. Step 3: Cross multiply
    317.25x = 473.31 × 314.82
  4. Step 4: Simplify right side
    317.25x = 149,007.45
  5. Step 5: Solve for x
    x = 149,007.45/317.25
  6. Step 6: Final answer
    x = 469.68

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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.