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Finding the Fourth Proportional to 289.32, 431.04 and 276.90

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Solution

The fourth proportional to 289.32, 431.04 and 276.90 is: 412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 431.04 = 276.90 : x
  2. Step 2: Convert to fraction form
    289.32/431.04 = 276.90/x
  3. Step 3: Cross multiply
    289.32x = 431.04 × 276.90
  4. Step 4: Simplify right side
    289.32x = 119,354.98
  5. Step 5: Solve for x
    x = 119,354.98/289.32
  6. Step 6: Final answer
    x = 412.54

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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.