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Finding the Fourth Proportional to 215.64, 321.88 and 185.40

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Solution

The fourth proportional to 215.64, 321.88 and 185.40 is: 276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.64 : 321.88 = 185.40 : x
  2. Step 2: Convert to fraction form
    215.64/321.88 = 185.40/x
  3. Step 3: Cross multiply
    215.64x = 321.88 × 185.40
  4. Step 4: Simplify right side
    215.64x = 59,676.55
  5. Step 5: Solve for x
    x = 59,676.55/215.64
  6. Step 6: Final answer
    x = 276.74

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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.