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Finding the Fourth Proportional to 538.59, 808.01 and 191.95

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Solution

The fourth proportional to 538.59, 808.01 and 191.95 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.59 : 808.01 = 191.95 : x
  2. Step 2: Convert to fraction form
    538.59/808.01 = 191.95/x
  3. Step 3: Cross multiply
    538.59x = 808.01 × 191.95
  4. Step 4: Simplify right side
    538.59x = 155,095.26
  5. Step 5: Solve for x
    x = 155,095.26/538.59
  6. Step 6: Final answer
    x = 287.96

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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.