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Finding the Fourth Proportional to 243.18, 364.71 and 98.79

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Solution

The fourth proportional to 243.18, 364.71 and 98.79 is: 148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.18 : 364.71 = 98.79 : x
  2. Step 2: Convert to fraction form
    243.18/364.71 = 98.79/x
  3. Step 3: Cross multiply
    243.18x = 364.71 × 98.79
  4. Step 4: Simplify right side
    243.18x = 36,029.70
  5. Step 5: Solve for x
    x = 36,029.70/243.18
  6. Step 6: Final answer
    x = 148.16

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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.