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Finding the Fourth Proportional to 218.26, 328.88 and 180.58

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Solution

The fourth proportional to 218.26, 328.88 and 180.58 is: 272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.26 : 328.88 = 180.58 : x
  2. Step 2: Convert to fraction form
    218.26/328.88 = 180.58/x
  3. Step 3: Cross multiply
    218.26x = 328.88 × 180.58
  4. Step 4: Simplify right side
    218.26x = 59,388.76
  5. Step 5: Solve for x
    x = 59,388.76/218.26
  6. Step 6: Final answer
    x = 272.10

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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.