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Finding the Fourth Proportional to 288.28, 429.65 and 280.60

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Solution

The fourth proportional to 288.28, 429.65 and 280.60 is: 418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.28 : 429.65 = 280.60 : x
  2. Step 2: Convert to fraction form
    288.28/429.65 = 280.60/x
  3. Step 3: Cross multiply
    288.28x = 429.65 × 280.60
  4. Step 4: Simplify right side
    288.28x = 120,559.79
  5. Step 5: Solve for x
    x = 120,559.79/288.28
  6. Step 6: Final answer
    x = 418.20

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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.