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Finding the Fourth Proportional to 435.21, 652.65 and 218.64

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Solution

The fourth proportional to 435.21, 652.65 and 218.64 is: 327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.21 : 652.65 = 218.64 : x
  2. Step 2: Convert to fraction form
    435.21/652.65 = 218.64/x
  3. Step 3: Cross multiply
    435.21x = 652.65 × 218.64
  4. Step 4: Simplify right side
    435.21x = 142,695.40
  5. Step 5: Solve for x
    x = 142,695.40/435.21
  6. Step 6: Final answer
    x = 327.88

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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.