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Finding the Fourth Proportional to 19.65, 27.05 and 17.22

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Solution

The fourth proportional to 19.65, 27.05 and 17.22 is: 23.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.65 : 27.05 = 17.22 : x
  2. Step 2: Convert to fraction form
    19.65/27.05 = 17.22/x
  3. Step 3: Cross multiply
    19.65x = 27.05 × 17.22
  4. Step 4: Simplify right side
    19.65x = 465.71
  5. Step 5: Solve for x
    x = 465.71/19.65
  6. Step 6: Final answer
    x = 23.70

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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.