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Finding the Fourth Proportional to 328.11, 491.85 and 142.89

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Solution

The fourth proportional to 328.11, 491.85 and 142.89 is: 214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.11 : 491.85 = 142.89 : x
  2. Step 2: Convert to fraction form
    328.11/491.85 = 142.89/x
  3. Step 3: Cross multiply
    328.11x = 491.85 × 142.89
  4. Step 4: Simplify right side
    328.11x = 70,280.45
  5. Step 5: Solve for x
    x = 70,280.45/328.11
  6. Step 6: Final answer
    x = 214.20

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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.