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Finding the Fourth Proportional to 288.50, 431.67 and 179.78

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Solution

The fourth proportional to 288.50, 431.67 and 179.78 is: 269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.50 : 431.67 = 179.78 : x
  2. Step 2: Convert to fraction form
    288.50/431.67 = 179.78/x
  3. Step 3: Cross multiply
    288.50x = 431.67 × 179.78
  4. Step 4: Simplify right side
    288.50x = 77,605.63
  5. Step 5: Solve for x
    x = 77,605.63/288.50
  6. Step 6: Final answer
    x = 269.00

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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.