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Finding the Fourth Proportional to 291.92, 438.05 and 161.93

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Solution

The fourth proportional to 291.92, 438.05 and 161.93 is: 242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.92 : 438.05 = 161.93 : x
  2. Step 2: Convert to fraction form
    291.92/438.05 = 161.93/x
  3. Step 3: Cross multiply
    291.92x = 438.05 × 161.93
  4. Step 4: Simplify right side
    291.92x = 70,932.63
  5. Step 5: Solve for x
    x = 70,932.63/291.92
  6. Step 6: Final answer
    x = 242.99

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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.