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Finding the Fourth Proportional to 289.76, 431.84 and 289.31

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Solution

The fourth proportional to 289.76, 431.84 and 289.31 is: 431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.76 : 431.84 = 289.31 : x
  2. Step 2: Convert to fraction form
    289.76/431.84 = 289.31/x
  3. Step 3: Cross multiply
    289.76x = 431.84 × 289.31
  4. Step 4: Simplify right side
    289.76x = 124,932.02
  5. Step 5: Solve for x
    x = 124,932.02/289.76
  6. Step 6: Final answer
    x = 431.16

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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.