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Finding the Fourth Proportional to 317.32, 476.19 and 230.78

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Solution

The fourth proportional to 317.32, 476.19 and 230.78 is: 346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.32 : 476.19 = 230.78 : x
  2. Step 2: Convert to fraction form
    317.32/476.19 = 230.78/x
  3. Step 3: Cross multiply
    317.32x = 476.19 × 230.78
  4. Step 4: Simplify right side
    317.32x = 109,896.32
  5. Step 5: Solve for x
    x = 109,896.32/317.32
  6. Step 6: Final answer
    x = 346.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.