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Finding the Fourth Proportional to 286.09, 394.63 and 175.53

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Solution

The fourth proportional to 286.09, 394.63 and 175.53 is: 242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.09 : 394.63 = 175.53 : x
  2. Step 2: Convert to fraction form
    286.09/394.63 = 175.53/x
  3. Step 3: Cross multiply
    286.09x = 394.63 × 175.53
  4. Step 4: Simplify right side
    286.09x = 69,269.40
  5. Step 5: Solve for x
    x = 69,269.40/286.09
  6. Step 6: Final answer
    x = 242.12

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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.