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Finding the Fourth Proportional to 318.48, 474.42 and 317.04

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Solution

The fourth proportional to 318.48, 474.42 and 317.04 is: 472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.48 : 474.42 = 317.04 : x
  2. Step 2: Convert to fraction form
    318.48/474.42 = 317.04/x
  3. Step 3: Cross multiply
    318.48x = 474.42 × 317.04
  4. Step 4: Simplify right side
    318.48x = 150,410.12
  5. Step 5: Solve for x
    x = 150,410.12/318.48
  6. Step 6: Final answer
    x = 472.27

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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.