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Finding the Fourth Proportional to 317.18, 437.72 and 186.20

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Solution

The fourth proportional to 317.18, 437.72 and 186.20 is: 256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.18 : 437.72 = 186.20 : x
  2. Step 2: Convert to fraction form
    317.18/437.72 = 186.20/x
  3. Step 3: Cross multiply
    317.18x = 437.72 × 186.20
  4. Step 4: Simplify right side
    317.18x = 81,503.46
  5. Step 5: Solve for x
    x = 81,503.46/317.18
  6. Step 6: Final answer
    x = 256.96

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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.