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Finding the Fourth Proportional to 235.46, 324.80 and 156.79

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Solution

The fourth proportional to 235.46, 324.80 and 156.79 is: 216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.46 : 324.80 = 156.79 : x
  2. Step 2: Convert to fraction form
    235.46/324.80 = 156.79/x
  3. Step 3: Cross multiply
    235.46x = 324.80 × 156.79
  4. Step 4: Simplify right side
    235.46x = 50,925.39
  5. Step 5: Solve for x
    x = 50,925.39/235.46
  6. Step 6: Final answer
    x = 216.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.