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Finding the Fourth Proportional to 288.99, 434.30 and 279.27

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Solution

The fourth proportional to 288.99, 434.30 and 279.27 is: 419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.99 : 434.30 = 279.27 : x
  2. Step 2: Convert to fraction form
    288.99/434.30 = 279.27/x
  3. Step 3: Cross multiply
    288.99x = 434.30 × 279.27
  4. Step 4: Simplify right side
    288.99x = 121,285.56
  5. Step 5: Solve for x
    x = 121,285.56/288.99
  6. Step 6: Final answer
    x = 419.69

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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.