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Finding the Fourth Proportional to 207.31, 284.56 and 183.48

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Solution

The fourth proportional to 207.31, 284.56 and 183.48 is: 251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.31 : 284.56 = 183.48 : x
  2. Step 2: Convert to fraction form
    207.31/284.56 = 183.48/x
  3. Step 3: Cross multiply
    207.31x = 284.56 × 183.48
  4. Step 4: Simplify right side
    207.31x = 52,210.06
  5. Step 5: Solve for x
    x = 52,210.06/207.31
  6. Step 6: Final answer
    x = 251.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.