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Finding the Fourth Proportional to 346.91, 520.34 and 141.47

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Solution

The fourth proportional to 346.91, 520.34 and 141.47 is: 212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.91 : 520.34 = 141.47 : x
  2. Step 2: Convert to fraction form
    346.91/520.34 = 141.47/x
  3. Step 3: Cross multiply
    346.91x = 520.34 × 141.47
  4. Step 4: Simplify right side
    346.91x = 73,609.19
  5. Step 5: Solve for x
    x = 73,609.19/346.91
  6. Step 6: Final answer
    x = 212.19

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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.