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Finding the Fourth Proportional to 538.90, 808.39 and 261.17

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Solution

The fourth proportional to 538.90, 808.39 and 261.17 is: 391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.90 : 808.39 = 261.17 : x
  2. Step 2: Convert to fraction form
    538.90/808.39 = 261.17/x
  3. Step 3: Cross multiply
    538.90x = 808.39 × 261.17
  4. Step 4: Simplify right side
    538.90x = 211,127.22
  5. Step 5: Solve for x
    x = 211,127.22/538.90
  6. Step 6: Final answer
    x = 391.77

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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.