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Finding the Fourth Proportional to 465.60, 642.56 and 266.48

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Solution

The fourth proportional to 465.60, 642.56 and 266.48 is: 367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 642.56 = 266.48 : x
  2. Step 2: Convert to fraction form
    465.60/642.56 = 266.48/x
  3. Step 3: Cross multiply
    465.60x = 642.56 × 266.48
  4. Step 4: Simplify right side
    465.60x = 171,229.39
  5. Step 5: Solve for x
    x = 171,229.39/465.60
  6. Step 6: Final answer
    x = 367.76

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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.