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Finding the Fourth Proportional to 312.76, 431.63 and 180.00

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Solution

The fourth proportional to 312.76, 431.63 and 180.00 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.76 : 431.63 = 180.00 : x
  2. Step 2: Convert to fraction form
    312.76/431.63 = 180.00/x
  3. Step 3: Cross multiply
    312.76x = 431.63 × 180.00
  4. Step 4: Simplify right side
    312.76x = 77,691.42
  5. Step 5: Solve for x
    x = 77,691.42/312.76
  6. Step 6: Final answer
    x = 248.41

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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.