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Finding the Fourth Proportional to 312.47, 431.25 and 186.50

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Solution

The fourth proportional to 312.47, 431.25 and 186.50 is: 257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.47 : 431.25 = 186.50 : x
  2. Step 2: Convert to fraction form
    312.47/431.25 = 186.50/x
  3. Step 3: Cross multiply
    312.47x = 431.25 × 186.50
  4. Step 4: Simplify right side
    312.47x = 80,429.20
  5. Step 5: Solve for x
    x = 80,429.20/312.47
  6. Step 6: Final answer
    x = 257.40

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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.