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Finding the Fourth Proportional to 288.26, 434.08 and 207.66

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Solution

The fourth proportional to 288.26, 434.08 and 207.66 is: 312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.26 : 434.08 = 207.66 : x
  2. Step 2: Convert to fraction form
    288.26/434.08 = 207.66/x
  3. Step 3: Cross multiply
    288.26x = 434.08 × 207.66
  4. Step 4: Simplify right side
    288.26x = 90,141.05
  5. Step 5: Solve for x
    x = 90,141.05/288.26
  6. Step 6: Final answer
    x = 312.71

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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.