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Finding the Fourth Proportional to 211.80, 292.05 and 183.93

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Solution

The fourth proportional to 211.80, 292.05 and 183.93 is: 253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.80 : 292.05 = 183.93 : x
  2. Step 2: Convert to fraction form
    211.80/292.05 = 183.93/x
  3. Step 3: Cross multiply
    211.80x = 292.05 × 183.93
  4. Step 4: Simplify right side
    211.80x = 53,716.76
  5. Step 5: Solve for x
    x = 53,716.76/211.80
  6. Step 6: Final answer
    x = 253.62

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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.