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Finding the Fourth Proportional to 332.66, 458.72 and 286.19

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Solution

The fourth proportional to 332.66, 458.72 and 286.19 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.66 : 458.72 = 286.19 : x
  2. Step 2: Convert to fraction form
    332.66/458.72 = 286.19/x
  3. Step 3: Cross multiply
    332.66x = 458.72 × 286.19
  4. Step 4: Simplify right side
    332.66x = 131,277.35
  5. Step 5: Solve for x
    x = 131,277.35/332.66
  6. Step 6: Final answer
    x = 394.64

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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.