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Finding the Fourth Proportional to 328.82, 490.66 and 292.40

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Solution

The fourth proportional to 328.82, 490.66 and 292.40 is: 436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.82 : 490.66 = 292.40 : x
  2. Step 2: Convert to fraction form
    328.82/490.66 = 292.40/x
  3. Step 3: Cross multiply
    328.82x = 490.66 × 292.40
  4. Step 4: Simplify right side
    328.82x = 143,468.98
  5. Step 5: Solve for x
    x = 143,468.98/328.82
  6. Step 6: Final answer
    x = 436.31

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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.