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Finding the Fourth Proportional to 908.98, 1,363.78 and 361.51

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Solution

The fourth proportional to 908.98, 1,363.78 and 361.51 is: 542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.98 : 1,363.78 = 361.51 : x
  2. Step 2: Convert to fraction form
    908.98/1,363.78 = 361.51/x
  3. Step 3: Cross multiply
    908.98x = 1,363.78 × 361.51
  4. Step 4: Simplify right side
    908.98x = 493,020.11
  5. Step 5: Solve for x
    x = 493,020.11/908.98
  6. Step 6: Final answer
    x = 542.39

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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.