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Finding the Fourth Proportional to 317.52, 439.83 and 311.04

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Solution

The fourth proportional to 317.52, 439.83 and 311.04 is: 430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.52 : 439.83 = 311.04 : x
  2. Step 2: Convert to fraction form
    317.52/439.83 = 311.04/x
  3. Step 3: Cross multiply
    317.52x = 439.83 × 311.04
  4. Step 4: Simplify right side
    317.52x = 136,804.72
  5. Step 5: Solve for x
    x = 136,804.72/317.52
  6. Step 6: Final answer
    x = 430.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.