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Finding the Fourth Proportional to 288.78, 432.25 and 207.23

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Solution

The fourth proportional to 288.78, 432.25 and 207.23 is: 310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.78 : 432.25 = 207.23 : x
  2. Step 2: Convert to fraction form
    288.78/432.25 = 207.23/x
  3. Step 3: Cross multiply
    288.78x = 432.25 × 207.23
  4. Step 4: Simplify right side
    288.78x = 89,571.97
  5. Step 5: Solve for x
    x = 89,571.97/288.78
  6. Step 6: Final answer
    x = 310.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.