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Finding the Fourth Proportional to 465.19, 641.77 and 346.96

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Solution

The fourth proportional to 465.19, 641.77 and 346.96 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 641.77 = 346.96 : x
  2. Step 2: Convert to fraction form
    465.19/641.77 = 346.96/x
  3. Step 3: Cross multiply
    465.19x = 641.77 × 346.96
  4. Step 4: Simplify right side
    465.19x = 222,668.52
  5. Step 5: Solve for x
    x = 222,668.52/465.19
  6. Step 6: Final answer
    x = 478.66

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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.