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Finding the Fourth Proportional to 216.60, 323.16 and 182.58

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Solution

The fourth proportional to 216.60, 323.16 and 182.58 is: 272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.60 : 323.16 = 182.58 : x
  2. Step 2: Convert to fraction form
    216.60/323.16 = 182.58/x
  3. Step 3: Cross multiply
    216.60x = 323.16 × 182.58
  4. Step 4: Simplify right side
    216.60x = 59,002.55
  5. Step 5: Solve for x
    x = 59,002.55/216.60
  6. Step 6: Final answer
    x = 272.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.