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Finding the Fourth Proportional to 312.53, 431.31 and 188.18

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Solution

The fourth proportional to 312.53, 431.31 and 188.18 is: 259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.53 : 431.31 = 188.18 : x
  2. Step 2: Convert to fraction form
    312.53/431.31 = 188.18/x
  3. Step 3: Cross multiply
    312.53x = 431.31 × 188.18
  4. Step 4: Simplify right side
    312.53x = 81,162.97
  5. Step 5: Solve for x
    x = 81,162.97/312.53
  6. Step 6: Final answer
    x = 259.70

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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.