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Finding the Fourth Proportional to 211.50, 291.51 and 189.72

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Solution

The fourth proportional to 211.50, 291.51 and 189.72 is: 261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.50 : 291.51 = 189.72 : x
  2. Step 2: Convert to fraction form
    211.50/291.51 = 189.72/x
  3. Step 3: Cross multiply
    211.50x = 291.51 × 189.72
  4. Step 4: Simplify right side
    211.50x = 55,305.28
  5. Step 5: Solve for x
    x = 55,305.28/211.50
  6. Step 6: Final answer
    x = 261.49

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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.