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Finding the Fourth Proportional to 21.80, 32.43 and 21.60

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Solution

The fourth proportional to 21.80, 32.43 and 21.60 is: 32.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.80 : 32.43 = 21.60 : x
  2. Step 2: Convert to fraction form
    21.80/32.43 = 21.60/x
  3. Step 3: Cross multiply
    21.80x = 32.43 × 21.60
  4. Step 4: Simplify right side
    21.80x = 700.49
  5. Step 5: Solve for x
    x = 700.49/21.80
  6. Step 6: Final answer
    x = 32.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.