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Finding the Fourth Proportional to 551.98, 761.97 and 365.14

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Solution

The fourth proportional to 551.98, 761.97 and 365.14 is: 504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.98 : 761.97 = 365.14 : x
  2. Step 2: Convert to fraction form
    551.98/761.97 = 365.14/x
  3. Step 3: Cross multiply
    551.98x = 761.97 × 365.14
  4. Step 4: Simplify right side
    551.98x = 278,228.05
  5. Step 5: Solve for x
    x = 278,228.05/551.98
  6. Step 6: Final answer
    x = 504.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.