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Finding the Fourth Proportional to 289, 432.94 and 191.24

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Solution

The fourth proportional to 289, 432.94 and 191.24 is: 286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 432.94 = 191.24 : x
  2. Step 2: Convert to fraction form
    289/432.94 = 191.24/x
  3. Step 3: Cross multiply
    289x = 432.94 × 191.24
  4. Step 4: Simplify right side
    289x = 82,795.45
  5. Step 5: Solve for x
    x = 82,795.45/289
  6. Step 6: Final answer
    x = 286.49

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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.