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Finding the Fourth Proportional to 317.04, 474.84 and 308.40

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Solution

The fourth proportional to 317.04, 474.84 and 308.40 is: 461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.04 : 474.84 = 308.40 : x
  2. Step 2: Convert to fraction form
    317.04/474.84 = 308.40/x
  3. Step 3: Cross multiply
    317.04x = 474.84 × 308.40
  4. Step 4: Simplify right side
    317.04x = 146,440.66
  5. Step 5: Solve for x
    x = 146,440.66/317.04
  6. Step 6: Final answer
    x = 461.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.