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Finding the Fourth Proportional to 551.29, 761.14 and 365.09

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Solution

The fourth proportional to 551.29, 761.14 and 365.09 is: 504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.29 : 761.14 = 365.09 : x
  2. Step 2: Convert to fraction form
    551.29/761.14 = 365.09/x
  3. Step 3: Cross multiply
    551.29x = 761.14 × 365.09
  4. Step 4: Simplify right side
    551.29x = 277,886.96
  5. Step 5: Solve for x
    x = 277,886.96/551.29
  6. Step 6: Final answer
    x = 504.07

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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.