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Finding the Fourth Proportional to 291.84, 439.41 and 220.32

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Solution

The fourth proportional to 291.84, 439.41 and 220.32 is: 331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.84 : 439.41 = 220.32 : x
  2. Step 2: Convert to fraction form
    291.84/439.41 = 220.32/x
  3. Step 3: Cross multiply
    291.84x = 439.41 × 220.32
  4. Step 4: Simplify right side
    291.84x = 96,810.81
  5. Step 5: Solve for x
    x = 96,810.81/291.84
  6. Step 6: Final answer
    x = 331.73

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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.