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Finding the Fourth Proportional to 468.19, 646.10 and 261.19

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Solution

The fourth proportional to 468.19, 646.10 and 261.19 is: 360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.19 : 646.10 = 261.19 : x
  2. Step 2: Convert to fraction form
    468.19/646.10 = 261.19/x
  3. Step 3: Cross multiply
    468.19x = 646.10 × 261.19
  4. Step 4: Simplify right side
    468.19x = 168,752.92
  5. Step 5: Solve for x
    x = 168,752.92/468.19
  6. Step 6: Final answer
    x = 360.44

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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.