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Finding the Fourth Proportional to 243, 364.60 and 179.40

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Solution

The fourth proportional to 243, 364.60 and 179.40 is: 269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243 : 364.60 = 179.40 : x
  2. Step 2: Convert to fraction form
    243/364.60 = 179.40/x
  3. Step 3: Cross multiply
    243x = 364.60 × 179.40
  4. Step 4: Simplify right side
    243x = 65,409.24
  5. Step 5: Solve for x
    x = 65,409.24/243
  6. Step 6: Final answer
    x = 269.17

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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.