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Finding the Fourth Proportional to 317.52, 473.22 and 311.12

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Solution

The fourth proportional to 317.52, 473.22 and 311.12 is: 463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.52 : 473.22 = 311.12 : x
  2. Step 2: Convert to fraction form
    317.52/473.22 = 311.12/x
  3. Step 3: Cross multiply
    317.52x = 473.22 × 311.12
  4. Step 4: Simplify right side
    317.52x = 147,228.21
  5. Step 5: Solve for x
    x = 147,228.21/317.52
  6. Step 6: Final answer
    x = 463.68

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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.