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Finding the Fourth Proportional to 317.60, 475.59 and 281.42

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Solution

The fourth proportional to 317.60, 475.59 and 281.42 is: 421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.60 : 475.59 = 281.42 : x
  2. Step 2: Convert to fraction form
    317.60/475.59 = 281.42/x
  3. Step 3: Cross multiply
    317.60x = 475.59 × 281.42
  4. Step 4: Simplify right side
    317.60x = 133,840.54
  5. Step 5: Solve for x
    x = 133,840.54/317.60
  6. Step 6: Final answer
    x = 421.41

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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.