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Finding the Fourth Proportional to 211.77, 291.72 and 180.59

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Solution

The fourth proportional to 211.77, 291.72 and 180.59 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.77 : 291.72 = 180.59 : x
  2. Step 2: Convert to fraction form
    211.77/291.72 = 180.59/x
  3. Step 3: Cross multiply
    211.77x = 291.72 × 180.59
  4. Step 4: Simplify right side
    211.77x = 52,680.26
  5. Step 5: Solve for x
    x = 52,680.26/211.77
  6. Step 6: Final answer
    x = 248.76

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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.