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Finding the Fourth Proportional to 286.66, 430.10 and 94.29

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Solution

The fourth proportional to 286.66, 430.10 and 94.29 is: 141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.66 : 430.10 = 94.29 : x
  2. Step 2: Convert to fraction form
    286.66/430.10 = 94.29/x
  3. Step 3: Cross multiply
    286.66x = 430.10 × 94.29
  4. Step 4: Simplify right side
    286.66x = 40,554.13
  5. Step 5: Solve for x
    x = 40,554.13/286.66
  6. Step 6: Final answer
    x = 141.47

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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.