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Finding the Fourth Proportional to 507.45, 761.14 and 142.22

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Solution

The fourth proportional to 507.45, 761.14 and 142.22 is: 213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.45 : 761.14 = 142.22 : x
  2. Step 2: Convert to fraction form
    507.45/761.14 = 142.22/x
  3. Step 3: Cross multiply
    507.45x = 761.14 × 142.22
  4. Step 4: Simplify right side
    507.45x = 108,251.41
  5. Step 5: Solve for x
    x = 108,251.41/507.45
  6. Step 6: Final answer
    x = 213.32

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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.