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Finding the Fourth Proportional to 286.50, 429.76 and 94.14

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Solution

The fourth proportional to 286.50, 429.76 and 94.14 is: 141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.50 : 429.76 = 94.14 : x
  2. Step 2: Convert to fraction form
    286.50/429.76 = 94.14/x
  3. Step 3: Cross multiply
    286.50x = 429.76 × 94.14
  4. Step 4: Simplify right side
    286.50x = 40,457.61
  5. Step 5: Solve for x
    x = 40,457.61/286.50
  6. Step 6: Final answer
    x = 141.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.