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Finding the Fourth Proportional to 14.07, 21.10 and 5.05

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Solution

The fourth proportional to 14.07, 21.10 and 5.05 is: 7.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.07 : 21.10 = 5.05 : x
  2. Step 2: Convert to fraction form
    14.07/21.10 = 5.05/x
  3. Step 3: Cross multiply
    14.07x = 21.10 × 5.05
  4. Step 4: Simplify right side
    14.07x = 106.56
  5. Step 5: Solve for x
    x = 106.56/14.07
  6. Step 6: Final answer
    x = 7.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.