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Finding the Fourth Proportional to 270.30, 372.49 and 208.13

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Solution

The fourth proportional to 270.30, 372.49 and 208.13 is: 286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.30 : 372.49 = 208.13 : x
  2. Step 2: Convert to fraction form
    270.30/372.49 = 208.13/x
  3. Step 3: Cross multiply
    270.30x = 372.49 × 208.13
  4. Step 4: Simplify right side
    270.30x = 77,526.34
  5. Step 5: Solve for x
    x = 77,526.34/270.30
  6. Step 6: Final answer
    x = 286.82

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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.