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Finding the Fourth Proportional to 21.65, 29.48 and 21.33

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Solution

The fourth proportional to 21.65, 29.48 and 21.33 is: 29.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.65 : 29.48 = 21.33 : x
  2. Step 2: Convert to fraction form
    21.65/29.48 = 21.33/x
  3. Step 3: Cross multiply
    21.65x = 29.48 × 21.33
  4. Step 4: Simplify right side
    21.65x = 628.70
  5. Step 5: Solve for x
    x = 628.70/21.65
  6. Step 6: Final answer
    x = 29.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.