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Finding the Fourth Proportional to 207.34, 312.24 and 180.61

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Solution

The fourth proportional to 207.34, 312.24 and 180.61 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.34 : 312.24 = 180.61 : x
  2. Step 2: Convert to fraction form
    207.34/312.24 = 180.61/x
  3. Step 3: Cross multiply
    207.34x = 312.24 × 180.61
  4. Step 4: Simplify right side
    207.34x = 56,392.76
  5. Step 5: Solve for x
    x = 56,392.76/207.34
  6. Step 6: Final answer
    x = 271.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.