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Finding the Fourth Proportional to 243.16, 364.08 and 174.34

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Solution

The fourth proportional to 243.16, 364.08 and 174.34 is: 261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.16 : 364.08 = 174.34 : x
  2. Step 2: Convert to fraction form
    243.16/364.08 = 174.34/x
  3. Step 3: Cross multiply
    243.16x = 364.08 × 174.34
  4. Step 4: Simplify right side
    243.16x = 63,473.71
  5. Step 5: Solve for x
    x = 63,473.71/243.16
  6. Step 6: Final answer
    x = 261.04

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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.