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Finding the Fourth Proportional to 317.30, 475.94 and 253.58

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Solution

The fourth proportional to 317.30, 475.94 and 253.58 is: 380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.30 : 475.94 = 253.58 : x
  2. Step 2: Convert to fraction form
    317.30/475.94 = 253.58/x
  3. Step 3: Cross multiply
    317.30x = 475.94 × 253.58
  4. Step 4: Simplify right side
    317.30x = 120,687.12
  5. Step 5: Solve for x
    x = 120,687.12/317.30
  6. Step 6: Final answer
    x = 380.36

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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.