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Finding the Fourth Proportional to 317.11, 437.62 and 186.13

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Solution

The fourth proportional to 317.11, 437.62 and 186.13 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.11 : 437.62 = 186.13 : x
  2. Step 2: Convert to fraction form
    317.11/437.62 = 186.13/x
  3. Step 3: Cross multiply
    317.11x = 437.62 × 186.13
  4. Step 4: Simplify right side
    317.11x = 81,452.02
  5. Step 5: Solve for x
    x = 81,452.02/317.11
  6. Step 6: Final answer
    x = 256.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.