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Finding the Fourth Proportional to 291.94, 402.61 and 207.75

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Solution

The fourth proportional to 291.94, 402.61 and 207.75 is: 286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 402.61 = 207.75 : x
  2. Step 2: Convert to fraction form
    291.94/402.61 = 207.75/x
  3. Step 3: Cross multiply
    291.94x = 402.61 × 207.75
  4. Step 4: Simplify right side
    291.94x = 83,640.21
  5. Step 5: Solve for x
    x = 83,640.21/291.94
  6. Step 6: Final answer
    x = 286.50

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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.