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Finding the Fourth Proportional to 215.53, 325.02 and 212.64

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Solution

The fourth proportional to 215.53, 325.02 and 212.64 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.53 : 325.02 = 212.64 : x
  2. Step 2: Convert to fraction form
    215.53/325.02 = 212.64/x
  3. Step 3: Cross multiply
    215.53x = 325.02 × 212.64
  4. Step 4: Simplify right side
    215.53x = 69,112.25
  5. Step 5: Solve for x
    x = 69,112.25/215.53
  6. Step 6: Final answer
    x = 320.66

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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.