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Finding the Fourth Proportional to 538.74, 808.07 and 192.15

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Solution

The fourth proportional to 538.74, 808.07 and 192.15 is: 288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.74 : 808.07 = 192.15 : x
  2. Step 2: Convert to fraction form
    538.74/808.07 = 192.15/x
  3. Step 3: Cross multiply
    538.74x = 808.07 × 192.15
  4. Step 4: Simplify right side
    538.74x = 155,270.65
  5. Step 5: Solve for x
    x = 155,270.65/538.74
  6. Step 6: Final answer
    x = 288.21

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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.