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Finding the Fourth Proportional to 328.01, 491.83 and 145.31

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Solution

The fourth proportional to 328.01, 491.83 and 145.31 is: 217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.01 : 491.83 = 145.31 : x
  2. Step 2: Convert to fraction form
    328.01/491.83 = 145.31/x
  3. Step 3: Cross multiply
    328.01x = 491.83 × 145.31
  4. Step 4: Simplify right side
    328.01x = 71,467.82
  5. Step 5: Solve for x
    x = 71,467.82/328.01
  6. Step 6: Final answer
    x = 217.88

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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.