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Finding the Fourth Proportional to 318.90, 474.81 and 317.10

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Solution

The fourth proportional to 318.90, 474.81 and 317.10 is: 472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.90 : 474.81 = 317.10 : x
  2. Step 2: Convert to fraction form
    318.90/474.81 = 317.10/x
  3. Step 3: Cross multiply
    318.90x = 474.81 × 317.10
  4. Step 4: Simplify right side
    318.90x = 150,562.25
  5. Step 5: Solve for x
    x = 150,562.25/318.90
  6. Step 6: Final answer
    x = 472.13

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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.