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Finding the Fourth Proportional to 317.68, 473.09 and 314.08

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Solution

The fourth proportional to 317.68, 473.09 and 314.08 is: 467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.68 : 473.09 = 314.08 : x
  2. Step 2: Convert to fraction form
    317.68/473.09 = 314.08/x
  3. Step 3: Cross multiply
    317.68x = 473.09 × 314.08
  4. Step 4: Simplify right side
    317.68x = 148,588.11
  5. Step 5: Solve for x
    x = 148,588.11/317.68
  6. Step 6: Final answer
    x = 467.73

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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.