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Finding the Fourth Proportional to 275.54, 379.66 and 188.06

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Solution

The fourth proportional to 275.54, 379.66 and 188.06 is: 259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.54 : 379.66 = 188.06 : x
  2. Step 2: Convert to fraction form
    275.54/379.66 = 188.06/x
  3. Step 3: Cross multiply
    275.54x = 379.66 × 188.06
  4. Step 4: Simplify right side
    275.54x = 71,398.86
  5. Step 5: Solve for x
    x = 71,398.86/275.54
  6. Step 6: Final answer
    x = 259.12

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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.