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Finding the Fourth Proportional to 289.72, 434.76 and 159.82

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Solution

The fourth proportional to 289.72, 434.76 and 159.82 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.72 : 434.76 = 159.82 : x
  2. Step 2: Convert to fraction form
    289.72/434.76 = 159.82/x
  3. Step 3: Cross multiply
    289.72x = 434.76 × 159.82
  4. Step 4: Simplify right side
    289.72x = 69,483.34
  5. Step 5: Solve for x
    x = 69,483.34/289.72
  6. Step 6: Final answer
    x = 239.83

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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.