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Finding the Fourth Proportional to 288.03, 431.78 and 114.65

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Solution

The fourth proportional to 288.03, 431.78 and 114.65 is: 171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.03 : 431.78 = 114.65 : x
  2. Step 2: Convert to fraction form
    288.03/431.78 = 114.65/x
  3. Step 3: Cross multiply
    288.03x = 431.78 × 114.65
  4. Step 4: Simplify right side
    288.03x = 49,502.46
  5. Step 5: Solve for x
    x = 49,502.46/288.03
  6. Step 6: Final answer
    x = 171.86

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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.