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Finding the Fourth Proportional to 317.82, 474.14 and 306.88

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Solution

The fourth proportional to 317.82, 474.14 and 306.88 is: 457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.82 : 474.14 = 306.88 : x
  2. Step 2: Convert to fraction form
    317.82/474.14 = 306.88/x
  3. Step 3: Cross multiply
    317.82x = 474.14 × 306.88
  4. Step 4: Simplify right side
    317.82x = 145,504.08
  5. Step 5: Solve for x
    x = 145,504.08/317.82
  6. Step 6: Final answer
    x = 457.82

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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.