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Finding the Fourth Proportional to 291.06, 438.35 and 219.42

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Solution

The fourth proportional to 291.06, 438.35 and 219.42 is: 330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.06 : 438.35 = 219.42 : x
  2. Step 2: Convert to fraction form
    291.06/438.35 = 219.42/x
  3. Step 3: Cross multiply
    291.06x = 438.35 × 219.42
  4. Step 4: Simplify right side
    291.06x = 96,181.66
  5. Step 5: Solve for x
    x = 96,181.66/291.06
  6. Step 6: Final answer
    x = 330.45

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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.