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Finding the Fourth Proportional to 328.78, 492.70 and 174.57

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Solution

The fourth proportional to 328.78, 492.70 and 174.57 is: 261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.78 : 492.70 = 174.57 : x
  2. Step 2: Convert to fraction form
    328.78/492.70 = 174.57/x
  3. Step 3: Cross multiply
    328.78x = 492.70 × 174.57
  4. Step 4: Simplify right side
    328.78x = 86,010.64
  5. Step 5: Solve for x
    x = 86,010.64/328.78
  6. Step 6: Final answer
    x = 261.61

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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.