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Finding the Fourth Proportional to 465.69, 642.58 and 266.49

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Solution

The fourth proportional to 465.69, 642.58 and 266.49 is: 367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.69 : 642.58 = 266.49 : x
  2. Step 2: Convert to fraction form
    465.69/642.58 = 266.49/x
  3. Step 3: Cross multiply
    465.69x = 642.58 × 266.49
  4. Step 4: Simplify right side
    465.69x = 171,241.14
  5. Step 5: Solve for x
    x = 171,241.14/465.69
  6. Step 6: Final answer
    x = 367.71

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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.