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Finding the Fourth Proportional to 317.45, 475.25 and 256.70

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Solution

The fourth proportional to 317.45, 475.25 and 256.70 is: 384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.45 : 475.25 = 256.70 : x
  2. Step 2: Convert to fraction form
    317.45/475.25 = 256.70/x
  3. Step 3: Cross multiply
    317.45x = 475.25 × 256.70
  4. Step 4: Simplify right side
    317.45x = 121,993.02
  5. Step 5: Solve for x
    x = 121,993.02/317.45
  6. Step 6: Final answer
    x = 384.30

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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.