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Finding the Fourth Proportional to 191.79, 289.00 and 158.30

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Solution

The fourth proportional to 191.79, 289.00 and 158.30 is: 238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.79 : 289.00 = 158.30 : x
  2. Step 2: Convert to fraction form
    191.79/289.00 = 158.30/x
  3. Step 3: Cross multiply
    191.79x = 289.00 × 158.30
  4. Step 4: Simplify right side
    191.79x = 45,747.91
  5. Step 5: Solve for x
    x = 45,747.91/191.79
  6. Step 6: Final answer
    x = 238.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.