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Finding the Fourth Proportional to 468.69, 646.79 and 261.69

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Solution

The fourth proportional to 468.69, 646.79 and 261.69 is: 361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.69 : 646.79 = 261.69 : x
  2. Step 2: Convert to fraction form
    468.69/646.79 = 261.69/x
  3. Step 3: Cross multiply
    468.69x = 646.79 × 261.69
  4. Step 4: Simplify right side
    468.69x = 169,258.48
  5. Step 5: Solve for x
    x = 169,258.48/468.69
  6. Step 6: Final answer
    x = 361.13

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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.