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Finding the Fourth Proportional to 346.79, 520.27 and 141.39

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Solution

The fourth proportional to 346.79, 520.27 and 141.39 is: 212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.79 : 520.27 = 141.39 : x
  2. Step 2: Convert to fraction form
    346.79/520.27 = 141.39/x
  3. Step 3: Cross multiply
    346.79x = 520.27 × 141.39
  4. Step 4: Simplify right side
    346.79x = 73,560.98
  5. Step 5: Solve for x
    x = 73,560.98/346.79
  6. Step 6: Final answer
    x = 212.12

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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.