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Finding the Fourth Proportional to 328.13, 491.85 and 145.34

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Solution

The fourth proportional to 328.13, 491.85 and 145.34 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.13 : 491.85 = 145.34 : x
  2. Step 2: Convert to fraction form
    328.13/491.85 = 145.34/x
  3. Step 3: Cross multiply
    328.13x = 491.85 × 145.34
  4. Step 4: Simplify right side
    328.13x = 71,483.02
  5. Step 5: Solve for x
    x = 71,483.02/328.13
  6. Step 6: Final answer
    x = 217.85

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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.