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Finding the Fourth Proportional to 21, 29.01 and 14.10

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Solution

The fourth proportional to 21, 29.01 and 14.10 is: 19.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21 : 29.01 = 14.10 : x
  2. Step 2: Convert to fraction form
    21/29.01 = 14.10/x
  3. Step 3: Cross multiply
    21x = 29.01 × 14.10
  4. Step 4: Simplify right side
    21x = 409.04
  5. Step 5: Solve for x
    x = 409.04/21
  6. Step 6: Final answer
    x = 19.48

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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.