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Finding the Fourth Proportional to 468.38, 646.36 and 261.38

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Solution

The fourth proportional to 468.38, 646.36 and 261.38 is: 360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.38 : 646.36 = 261.38 : x
  2. Step 2: Convert to fraction form
    468.38/646.36 = 261.38/x
  3. Step 3: Cross multiply
    468.38x = 646.36 × 261.38
  4. Step 4: Simplify right side
    468.38x = 168,941.69
  5. Step 5: Solve for x
    x = 168,941.69/468.38
  6. Step 6: Final answer
    x = 360.70

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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.