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Finding the Fourth Proportional to 312.59, 431.16 and 188.12

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Solution

The fourth proportional to 312.59, 431.16 and 188.12 is: 259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.59 : 431.16 = 188.12 : x
  2. Step 2: Convert to fraction form
    312.59/431.16 = 188.12/x
  3. Step 3: Cross multiply
    312.59x = 431.16 × 188.12
  4. Step 4: Simplify right side
    312.59x = 81,107.66
  5. Step 5: Solve for x
    x = 81,107.66/312.59
  6. Step 6: Final answer
    x = 259.47

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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.