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Finding the Fourth Proportional to 289.19, 431.67 and 252.74

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Solution

The fourth proportional to 289.19, 431.67 and 252.74 is: 377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.19 : 431.67 = 252.74 : x
  2. Step 2: Convert to fraction form
    289.19/431.67 = 252.74/x
  3. Step 3: Cross multiply
    289.19x = 431.67 × 252.74
  4. Step 4: Simplify right side
    289.19x = 109,098.12
  5. Step 5: Solve for x
    x = 109,098.12/289.19
  6. Step 6: Final answer
    x = 377.26

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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.