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Finding the Fourth Proportional to 286.92, 430.07 and 210.21

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Solution

The fourth proportional to 286.92, 430.07 and 210.21 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.92 : 430.07 = 210.21 : x
  2. Step 2: Convert to fraction form
    286.92/430.07 = 210.21/x
  3. Step 3: Cross multiply
    286.92x = 430.07 × 210.21
  4. Step 4: Simplify right side
    286.92x = 90,405.01
  5. Step 5: Solve for x
    x = 90,405.01/286.92
  6. Step 6: Final answer
    x = 315.09

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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.