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Finding the Fourth Proportional to 211.80, 292.41 and 175.17

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Solution

The fourth proportional to 211.80, 292.41 and 175.17 is: 241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.80 : 292.41 = 175.17 : x
  2. Step 2: Convert to fraction form
    211.80/292.41 = 175.17/x
  3. Step 3: Cross multiply
    211.80x = 292.41 × 175.17
  4. Step 4: Simplify right side
    211.80x = 51,221.46
  5. Step 5: Solve for x
    x = 51,221.46/211.80
  6. Step 6: Final answer
    x = 241.84

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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.