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Finding the Fourth Proportional to 434.22, 651.43 and 126.10

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Solution

The fourth proportional to 434.22, 651.43 and 126.10 is: 189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.22 : 651.43 = 126.10 : x
  2. Step 2: Convert to fraction form
    434.22/651.43 = 126.10/x
  3. Step 3: Cross multiply
    434.22x = 651.43 × 126.10
  4. Step 4: Simplify right side
    434.22x = 82,147.72
  5. Step 5: Solve for x
    x = 82,147.72/434.22
  6. Step 6: Final answer
    x = 189.18

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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.