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Finding the Fourth Proportional to 211.90, 291.90 and 180.71

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Solution

The fourth proportional to 211.90, 291.90 and 180.71 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.90 : 291.90 = 180.71 : x
  2. Step 2: Convert to fraction form
    211.90/291.90 = 180.71/x
  3. Step 3: Cross multiply
    211.90x = 291.90 × 180.71
  4. Step 4: Simplify right side
    211.90x = 52,749.25
  5. Step 5: Solve for x
    x = 52,749.25/211.90
  6. Step 6: Final answer
    x = 248.93

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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.