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Finding the Fourth Proportional to 27.61, 41.43 and 14.08

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Solution

The fourth proportional to 27.61, 41.43 and 14.08 is: 21.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.61 : 41.43 = 14.08 : x
  2. Step 2: Convert to fraction form
    27.61/41.43 = 14.08/x
  3. Step 3: Cross multiply
    27.61x = 41.43 × 14.08
  4. Step 4: Simplify right side
    27.61x = 583.33
  5. Step 5: Solve for x
    x = 583.33/27.61
  6. Step 6: Final answer
    x = 21.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.