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Finding the Fourth Proportional to 291.67, 438.32 and 239.83

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Solution

The fourth proportional to 291.67, 438.32 and 239.83 is: 360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.67 : 438.32 = 239.83 : x
  2. Step 2: Convert to fraction form
    291.67/438.32 = 239.83/x
  3. Step 3: Cross multiply
    291.67x = 438.32 × 239.83
  4. Step 4: Simplify right side
    291.67x = 105,122.29
  5. Step 5: Solve for x
    x = 105,122.29/291.67
  6. Step 6: Final answer
    x = 360.42

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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.