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Finding the Fourth Proportional to 264.48, 364.80 and 160.80

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Solution

The fourth proportional to 264.48, 364.80 and 160.80 is: 221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.48 : 364.80 = 160.80 : x
  2. Step 2: Convert to fraction form
    264.48/364.80 = 160.80/x
  3. Step 3: Cross multiply
    264.48x = 364.80 × 160.80
  4. Step 4: Simplify right side
    264.48x = 58,659.84
  5. Step 5: Solve for x
    x = 58,659.84/264.48
  6. Step 6: Final answer
    x = 221.79

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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.