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Finding the Fourth Proportional to 317.90, 473.09 and 314.66

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Solution

The fourth proportional to 317.90, 473.09 and 314.66 is: 468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.90 : 473.09 = 314.66 : x
  2. Step 2: Convert to fraction form
    317.90/473.09 = 314.66/x
  3. Step 3: Cross multiply
    317.90x = 473.09 × 314.66
  4. Step 4: Simplify right side
    317.90x = 148,862.50
  5. Step 5: Solve for x
    x = 148,862.50/317.90
  6. Step 6: Final answer
    x = 468.27

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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.