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Finding the Fourth Proportional to 430.96, 646.62 and 142.42

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Solution

The fourth proportional to 430.96, 646.62 and 142.42 is: 213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.96 : 646.62 = 142.42 : x
  2. Step 2: Convert to fraction form
    430.96/646.62 = 142.42/x
  3. Step 3: Cross multiply
    430.96x = 646.62 × 142.42
  4. Step 4: Simplify right side
    430.96x = 92,091.62
  5. Step 5: Solve for x
    x = 92,091.62/430.96
  6. Step 6: Final answer
    x = 213.69

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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.