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Finding the Fourth Proportional to 317.10, 471.06 and 311.70

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Solution

The fourth proportional to 317.10, 471.06 and 311.70 is: 463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.10 : 471.06 = 311.70 : x
  2. Step 2: Convert to fraction form
    317.10/471.06 = 311.70/x
  3. Step 3: Cross multiply
    317.10x = 471.06 × 311.70
  4. Step 4: Simplify right side
    317.10x = 146,829.40
  5. Step 5: Solve for x
    x = 146,829.40/317.10
  6. Step 6: Final answer
    x = 463.04

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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.