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Finding the Fourth Proportional to 211.61, 291.93 and 132.89

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Solution

The fourth proportional to 211.61, 291.93 and 132.89 is: 183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.61 : 291.93 = 132.89 : x
  2. Step 2: Convert to fraction form
    211.61/291.93 = 132.89/x
  3. Step 3: Cross multiply
    211.61x = 291.93 × 132.89
  4. Step 4: Simplify right side
    211.61x = 38,794.58
  5. Step 5: Solve for x
    x = 38,794.58/211.61
  6. Step 6: Final answer
    x = 183.33

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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.