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Finding the Fourth Proportional to 430.92, 646.16 and 138.33

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Solution

The fourth proportional to 430.92, 646.16 and 138.33 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.92 : 646.16 = 138.33 : x
  2. Step 2: Convert to fraction form
    430.92/646.16 = 138.33/x
  3. Step 3: Cross multiply
    430.92x = 646.16 × 138.33
  4. Step 4: Simplify right side
    430.92x = 89,382.62
  5. Step 5: Solve for x
    x = 89,382.62/430.92
  6. Step 6: Final answer
    x = 207.42

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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.