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Finding the Fourth Proportional to 403.20, 604.98 and 386.82

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Solution

The fourth proportional to 403.20, 604.98 and 386.82 is: 580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.20 : 604.98 = 386.82 : x
  2. Step 2: Convert to fraction form
    403.20/604.98 = 386.82/x
  3. Step 3: Cross multiply
    403.20x = 604.98 × 386.82
  4. Step 4: Simplify right side
    403.20x = 234,018.36
  5. Step 5: Solve for x
    x = 234,018.36/403.20
  6. Step 6: Final answer
    x = 580.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.