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Finding the Fourth Proportional to 434.82, 651.42 and 249.51

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Solution

The fourth proportional to 434.82, 651.42 and 249.51 is: 373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.82 : 651.42 = 249.51 : x
  2. Step 2: Convert to fraction form
    434.82/651.42 = 249.51/x
  3. Step 3: Cross multiply
    434.82x = 651.42 × 249.51
  4. Step 4: Simplify right side
    434.82x = 162,532.05
  5. Step 5: Solve for x
    x = 162,532.05/434.82
  6. Step 6: Final answer
    x = 373.79

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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.