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Finding the Fourth Proportional to 218.34, 328.62 and 206.58

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Solution

The fourth proportional to 218.34, 328.62 and 206.58 is: 310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.34 : 328.62 = 206.58 : x
  2. Step 2: Convert to fraction form
    218.34/328.62 = 206.58/x
  3. Step 3: Cross multiply
    218.34x = 328.62 × 206.58
  4. Step 4: Simplify right side
    218.34x = 67,886.32
  5. Step 5: Solve for x
    x = 67,886.32/218.34
  6. Step 6: Final answer
    x = 310.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.