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Finding the Fourth Proportional to 317.21, 437.79 and 186.20

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Solution

The fourth proportional to 317.21, 437.79 and 186.20 is: 256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.21 : 437.79 = 186.20 : x
  2. Step 2: Convert to fraction form
    317.21/437.79 = 186.20/x
  3. Step 3: Cross multiply
    317.21x = 437.79 × 186.20
  4. Step 4: Simplify right side
    317.21x = 81,514.31
  5. Step 5: Solve for x
    x = 81,514.31/317.21
  6. Step 6: Final answer
    x = 256.98

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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.