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Finding the Fourth Proportional to 286.44, 429.33 and 124.08

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Solution

The fourth proportional to 286.44, 429.33 and 124.08 is: 185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.44 : 429.33 = 124.08 : x
  2. Step 2: Convert to fraction form
    286.44/429.33 = 124.08/x
  3. Step 3: Cross multiply
    286.44x = 429.33 × 124.08
  4. Step 4: Simplify right side
    286.44x = 53,271.27
  5. Step 5: Solve for x
    x = 53,271.27/286.44
  6. Step 6: Final answer
    x = 185.98

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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.