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Finding the Fourth Proportional to 243, 364.23 and 98.60

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Solution

The fourth proportional to 243, 364.23 and 98.60 is: 147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243 : 364.23 = 98.60 : x
  2. Step 2: Convert to fraction form
    243/364.23 = 98.60/x
  3. Step 3: Cross multiply
    243x = 364.23 × 98.60
  4. Step 4: Simplify right side
    243x = 35,911.26
  5. Step 5: Solve for x
    x = 35,911.26/243
  6. Step 6: Final answer
    x = 147.78

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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.