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Finding the Fourth Proportional to 328.79, 492.71 and 166.25

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Solution

The fourth proportional to 328.79, 492.71 and 166.25 is: 249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.79 : 492.71 = 166.25 : x
  2. Step 2: Convert to fraction form
    328.79/492.71 = 166.25/x
  3. Step 3: Cross multiply
    328.79x = 492.71 × 166.25
  4. Step 4: Simplify right side
    328.79x = 81,909.74
  5. Step 5: Solve for x
    x = 81,909.74/328.79
  6. Step 6: Final answer
    x = 249.13

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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.