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Finding the Fourth Proportional to 243.30, 364.82 and 106.32

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Solution

The fourth proportional to 243.30, 364.82 and 106.32 is: 159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.30 : 364.82 = 106.32 : x
  2. Step 2: Convert to fraction form
    243.30/364.82 = 106.32/x
  3. Step 3: Cross multiply
    243.30x = 364.82 × 106.32
  4. Step 4: Simplify right side
    243.30x = 38,787.13
  5. Step 5: Solve for x
    x = 38,787.13/243.30
  6. Step 6: Final answer
    x = 159.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.