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Finding the Fourth Proportional to 346.80, 520.31 and 216.89

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Solution

The fourth proportional to 346.80, 520.31 and 216.89 is: 325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.80 : 520.31 = 216.89 : x
  2. Step 2: Convert to fraction form
    346.80/520.31 = 216.89/x
  3. Step 3: Cross multiply
    346.80x = 520.31 × 216.89
  4. Step 4: Simplify right side
    346.80x = 112,847.43
  5. Step 5: Solve for x
    x = 112,847.43/346.80
  6. Step 6: Final answer
    x = 325.40

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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.