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Finding the Fourth Proportional to 434.78, 652.08 and 218.42

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Solution

The fourth proportional to 434.78, 652.08 and 218.42 is: 327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.78 : 652.08 = 218.42 : x
  2. Step 2: Convert to fraction form
    434.78/652.08 = 218.42/x
  3. Step 3: Cross multiply
    434.78x = 652.08 × 218.42
  4. Step 4: Simplify right side
    434.78x = 142,427.31
  5. Step 5: Solve for x
    x = 142,427.31/434.78
  6. Step 6: Final answer
    x = 327.58

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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.