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Finding the Fourth Proportional to 207.94, 286.76 and 175.54

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Solution

The fourth proportional to 207.94, 286.76 and 175.54 is: 242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.94 : 286.76 = 175.54 : x
  2. Step 2: Convert to fraction form
    207.94/286.76 = 175.54/x
  3. Step 3: Cross multiply
    207.94x = 286.76 × 175.54
  4. Step 4: Simplify right side
    207.94x = 50,337.85
  5. Step 5: Solve for x
    x = 50,337.85/207.94
  6. Step 6: Final answer
    x = 242.08

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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.