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Finding the Fourth Proportional to 21.46, 29.60 and 17.98

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Solution

The fourth proportional to 21.46, 29.60 and 17.98 is: 24.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.46 : 29.60 = 17.98 : x
  2. Step 2: Convert to fraction form
    21.46/29.60 = 17.98/x
  3. Step 3: Cross multiply
    21.46x = 29.60 × 17.98
  4. Step 4: Simplify right side
    21.46x = 532.21
  5. Step 5: Solve for x
    x = 532.21/21.46
  6. Step 6: Final answer
    x = 24.80

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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.