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Finding the Fourth Proportional to 434.69, 652.05 and 218.19

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Solution

The fourth proportional to 434.69, 652.05 and 218.19 is: 327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.69 : 652.05 = 218.19 : x
  2. Step 2: Convert to fraction form
    434.69/652.05 = 218.19/x
  3. Step 3: Cross multiply
    434.69x = 652.05 × 218.19
  4. Step 4: Simplify right side
    434.69x = 142,270.79
  5. Step 5: Solve for x
    x = 142,270.79/434.69
  6. Step 6: Final answer
    x = 327.29

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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.