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Finding the Fourth Proportional to 243, 334.98 and 169.20

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Solution

The fourth proportional to 243, 334.98 and 169.20 is: 233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243 : 334.98 = 169.20 : x
  2. Step 2: Convert to fraction form
    243/334.98 = 169.20/x
  3. Step 3: Cross multiply
    243x = 334.98 × 169.20
  4. Step 4: Simplify right side
    243x = 56,678.62
  5. Step 5: Solve for x
    x = 56,678.62/243
  6. Step 6: Final answer
    x = 233.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.