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Finding the Fourth Proportional to 434.94, 652.39 and 110.31

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Solution

The fourth proportional to 434.94, 652.39 and 110.31 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.94 : 652.39 = 110.31 : x
  2. Step 2: Convert to fraction form
    434.94/652.39 = 110.31/x
  3. Step 3: Cross multiply
    434.94x = 652.39 × 110.31
  4. Step 4: Simplify right side
    434.94x = 71,965.14
  5. Step 5: Solve for x
    x = 71,965.14/434.94
  6. Step 6: Final answer
    x = 165.46

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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.