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Finding the Fourth Proportional to 21.64, 32.35 and 16.78

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Solution

The fourth proportional to 21.64, 32.35 and 16.78 is: 25.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.64 : 32.35 = 16.78 : x
  2. Step 2: Convert to fraction form
    21.64/32.35 = 16.78/x
  3. Step 3: Cross multiply
    21.64x = 32.35 × 16.78
  4. Step 4: Simplify right side
    21.64x = 542.89
  5. Step 5: Solve for x
    x = 542.89/21.64
  6. Step 6: Final answer
    x = 25.08

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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.