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Finding the Fourth Proportional to 404.42, 605.53 and 380.16

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Solution

The fourth proportional to 404.42, 605.53 and 380.16 is: 569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.42 : 605.53 = 380.16 : x
  2. Step 2: Convert to fraction form
    404.42/605.53 = 380.16/x
  3. Step 3: Cross multiply
    404.42x = 605.53 × 380.16
  4. Step 4: Simplify right side
    404.42x = 230,197.90
  5. Step 5: Solve for x
    x = 230,197.90/404.42
  6. Step 6: Final answer
    x = 569.20

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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.