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Finding the Fourth Proportional to 288.31, 429.67 and 279.09

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Solution

The fourth proportional to 288.31, 429.67 and 279.09 is: 415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.31 : 429.67 = 279.09 : x
  2. Step 2: Convert to fraction form
    288.31/429.67 = 279.09/x
  3. Step 3: Cross multiply
    288.31x = 429.67 × 279.09
  4. Step 4: Simplify right side
    288.31x = 119,914.45
  5. Step 5: Solve for x
    x = 119,914.45/288.31
  6. Step 6: Final answer
    x = 415.92

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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.