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Finding the Fourth Proportional to 434.41, 651.52 and 126.28

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Solution

The fourth proportional to 434.41, 651.52 and 126.28 is: 189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.41 : 651.52 = 126.28 : x
  2. Step 2: Convert to fraction form
    434.41/651.52 = 126.28/x
  3. Step 3: Cross multiply
    434.41x = 651.52 × 126.28
  4. Step 4: Simplify right side
    434.41x = 82,270.06
  5. Step 5: Solve for x
    x = 82,270.06/434.41
  6. Step 6: Final answer
    x = 189.39

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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.