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Finding the Fourth Proportional to 434.72, 651.96 and 142.12

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Solution

The fourth proportional to 434.72, 651.96 and 142.12 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.72 : 651.96 = 142.12 : x
  2. Step 2: Convert to fraction form
    434.72/651.96 = 142.12/x
  3. Step 3: Cross multiply
    434.72x = 651.96 × 142.12
  4. Step 4: Simplify right side
    434.72x = 92,656.91
  5. Step 5: Solve for x
    x = 92,656.91/434.72
  6. Step 6: Final answer
    x = 213.14

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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.