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Finding the Fourth Proportional to 336.10, 462.77 and 286.21

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Solution

The fourth proportional to 336.10, 462.77 and 286.21 is: 394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.10 : 462.77 = 286.21 : x
  2. Step 2: Convert to fraction form
    336.10/462.77 = 286.21/x
  3. Step 3: Cross multiply
    336.10x = 462.77 × 286.21
  4. Step 4: Simplify right side
    336.10x = 132,449.40
  5. Step 5: Solve for x
    x = 132,449.40/336.10
  6. Step 6: Final answer
    x = 394.08

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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.