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Finding the Fourth Proportional to 400.80, 604.20 and 359.04

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Solution

The fourth proportional to 400.80, 604.20 and 359.04 is: 541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.80 : 604.20 = 359.04 : x
  2. Step 2: Convert to fraction form
    400.80/604.20 = 359.04/x
  3. Step 3: Cross multiply
    400.80x = 604.20 × 359.04
  4. Step 4: Simplify right side
    400.80x = 216,931.97
  5. Step 5: Solve for x
    x = 216,931.97/400.80
  6. Step 6: Final answer
    x = 541.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.