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Finding the Fourth Proportional to 215.40, 324.36 and 154.95

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Solution

The fourth proportional to 215.40, 324.36 and 154.95 is: 233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.40 : 324.36 = 154.95 : x
  2. Step 2: Convert to fraction form
    215.40/324.36 = 154.95/x
  3. Step 3: Cross multiply
    215.40x = 324.36 × 154.95
  4. Step 4: Simplify right side
    215.40x = 50,258.81
  5. Step 5: Solve for x
    x = 50,258.81/215.40
  6. Step 6: Final answer
    x = 233.33

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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.