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Finding the Fourth Proportional to 317.76, 441.53 and 314.38

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Solution

The fourth proportional to 317.76, 441.53 and 314.38 is: 436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 441.53 = 314.38 : x
  2. Step 2: Convert to fraction form
    317.76/441.53 = 314.38/x
  3. Step 3: Cross multiply
    317.76x = 441.53 × 314.38
  4. Step 4: Simplify right side
    317.76x = 138,808.20
  5. Step 5: Solve for x
    x = 138,808.20/317.76
  6. Step 6: Final answer
    x = 436.83

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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.