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Finding the Fourth Proportional to 328.08, 452.62 and 211.66

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Solution

The fourth proportional to 328.08, 452.62 and 211.66 is: 292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.08 : 452.62 = 211.66 : x
  2. Step 2: Convert to fraction form
    328.08/452.62 = 211.66/x
  3. Step 3: Cross multiply
    328.08x = 452.62 × 211.66
  4. Step 4: Simplify right side
    328.08x = 95,801.55
  5. Step 5: Solve for x
    x = 95,801.55/328.08
  6. Step 6: Final answer
    x = 292.01

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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.