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Finding the Fourth Proportional to 317.14, 475.60 and 152.56

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Solution

The fourth proportional to 317.14, 475.60 and 152.56 is: 228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.14 : 475.60 = 152.56 : x
  2. Step 2: Convert to fraction form
    317.14/475.60 = 152.56/x
  3. Step 3: Cross multiply
    317.14x = 475.60 × 152.56
  4. Step 4: Simplify right side
    317.14x = 72,556.27
  5. Step 5: Solve for x
    x = 72,556.27/317.14
  6. Step 6: Final answer
    x = 228.78

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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.