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Finding the Fourth Proportional to 317.76, 475.20 and 257.28

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Solution

The fourth proportional to 317.76, 475.20 and 257.28 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 475.20 = 257.28 : x
  2. Step 2: Convert to fraction form
    317.76/475.20 = 257.28/x
  3. Step 3: Cross multiply
    317.76x = 475.20 × 257.28
  4. Step 4: Simplify right side
    317.76x = 122,259.46
  5. Step 5: Solve for x
    x = 122,259.46/317.76
  6. Step 6: Final answer
    x = 384.75

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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.