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Finding the Fourth Proportional to 400.32, 603.84 and 387.36

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Solution

The fourth proportional to 400.32, 603.84 and 387.36 is: 584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.32 : 603.84 = 387.36 : x
  2. Step 2: Convert to fraction form
    400.32/603.84 = 387.36/x
  3. Step 3: Cross multiply
    400.32x = 603.84 × 387.36
  4. Step 4: Simplify right side
    400.32x = 233,903.46
  5. Step 5: Solve for x
    x = 233,903.46/400.32
  6. Step 6: Final answer
    x = 584.29

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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.