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Finding the Fourth Proportional to 346.34, 519.19 and 151.22

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Solution

The fourth proportional to 346.34, 519.19 and 151.22 is: 226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.34 : 519.19 = 151.22 : x
  2. Step 2: Convert to fraction form
    346.34/519.19 = 151.22/x
  3. Step 3: Cross multiply
    346.34x = 519.19 × 151.22
  4. Step 4: Simplify right side
    346.34x = 78,511.91
  5. Step 5: Solve for x
    x = 78,511.91/346.34
  6. Step 6: Final answer
    x = 226.69

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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.