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Finding the Fourth Proportional to 434.39, 651.47 and 126.16

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Solution

The fourth proportional to 434.39, 651.47 and 126.16 is: 189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.39 : 651.47 = 126.16 : x
  2. Step 2: Convert to fraction form
    434.39/651.47 = 126.16/x
  3. Step 3: Cross multiply
    434.39x = 651.47 × 126.16
  4. Step 4: Simplify right side
    434.39x = 82,187.20
  5. Step 5: Solve for x
    x = 82,187.20/434.39
  6. Step 6: Final answer
    x = 189.20

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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.