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Finding the Fourth Proportional to 328.46, 490.19 and 292.01

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Solution

The fourth proportional to 328.46, 490.19 and 292.01 is: 435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.46 : 490.19 = 292.01 : x
  2. Step 2: Convert to fraction form
    328.46/490.19 = 292.01/x
  3. Step 3: Cross multiply
    328.46x = 490.19 × 292.01
  4. Step 4: Simplify right side
    328.46x = 143,136.47
  5. Step 5: Solve for x
    x = 143,136.47/328.46
  6. Step 6: Final answer
    x = 435.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.