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Finding the Fourth Proportional to 264.40, 364.79 and 159.39

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Solution

The fourth proportional to 264.40, 364.79 and 159.39 is: 219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.40 : 364.79 = 159.39 : x
  2. Step 2: Convert to fraction form
    264.40/364.79 = 159.39/x
  3. Step 3: Cross multiply
    264.40x = 364.79 × 159.39
  4. Step 4: Simplify right side
    264.40x = 58,144.28
  5. Step 5: Solve for x
    x = 58,144.28/264.40
  6. Step 6: Final answer
    x = 219.91

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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.