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Finding the Fourth Proportional to 291.83, 437.29 and 161.72

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Solution

The fourth proportional to 291.83, 437.29 and 161.72 is: 242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.83 : 437.29 = 161.72 : x
  2. Step 2: Convert to fraction form
    291.83/437.29 = 161.72/x
  3. Step 3: Cross multiply
    291.83x = 437.29 × 161.72
  4. Step 4: Simplify right side
    291.83x = 70,718.54
  5. Step 5: Solve for x
    x = 70,718.54/291.83
  6. Step 6: Final answer
    x = 242.33

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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.