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Finding the Fourth Proportional to 434.51, 651.77 and 126.39

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Solution

The fourth proportional to 434.51, 651.77 and 126.39 is: 189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.51 : 651.77 = 126.39 : x
  2. Step 2: Convert to fraction form
    434.51/651.77 = 126.39/x
  3. Step 3: Cross multiply
    434.51x = 651.77 × 126.39
  4. Step 4: Simplify right side
    434.51x = 82,376.58
  5. Step 5: Solve for x
    x = 82,376.58/434.51
  6. Step 6: Final answer
    x = 189.59

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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.