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Finding the Fourth Proportional to 317.02, 475.24 and 186.70

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Solution

The fourth proportional to 317.02, 475.24 and 186.70 is: 279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.02 : 475.24 = 186.70 : x
  2. Step 2: Convert to fraction form
    317.02/475.24 = 186.70/x
  3. Step 3: Cross multiply
    317.02x = 475.24 × 186.70
  4. Step 4: Simplify right side
    317.02x = 88,727.31
  5. Step 5: Solve for x
    x = 88,727.31/317.02
  6. Step 6: Final answer
    x = 279.88

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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.