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Finding the Fourth Proportional to 328.76, 490.87 and 292.28

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Solution

The fourth proportional to 328.76, 490.87 and 292.28 is: 436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.76 : 490.87 = 292.28 : x
  2. Step 2: Convert to fraction form
    328.76/490.87 = 292.28/x
  3. Step 3: Cross multiply
    328.76x = 490.87 × 292.28
  4. Step 4: Simplify right side
    328.76x = 143,471.48
  5. Step 5: Solve for x
    x = 143,471.48/328.76
  6. Step 6: Final answer
    x = 436.40

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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.