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Finding the Fourth Proportional to 404.80, 604.04 and 402.40

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Solution

The fourth proportional to 404.80, 604.04 and 402.40 is: 600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.80 : 604.04 = 402.40 : x
  2. Step 2: Convert to fraction form
    404.80/604.04 = 402.40/x
  3. Step 3: Cross multiply
    404.80x = 604.04 × 402.40
  4. Step 4: Simplify right side
    404.80x = 243,065.70
  5. Step 5: Solve for x
    x = 243,065.70/404.80
  6. Step 6: Final answer
    x = 600.46

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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.