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Finding the Fourth Proportional to 288.48, 428.97 and 279.80

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Solution

The fourth proportional to 288.48, 428.97 and 279.80 is: 416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.48 : 428.97 = 279.80 : x
  2. Step 2: Convert to fraction form
    288.48/428.97 = 279.80/x
  3. Step 3: Cross multiply
    288.48x = 428.97 × 279.80
  4. Step 4: Simplify right side
    288.48x = 120,025.81
  5. Step 5: Solve for x
    x = 120,025.81/288.48
  6. Step 6: Final answer
    x = 416.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.