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Finding the Fourth Proportional to 346.97, 520.04 and 216.77

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Solution

The fourth proportional to 346.97, 520.04 and 216.77 is: 324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.97 : 520.04 = 216.77 : x
  2. Step 2: Convert to fraction form
    346.97/520.04 = 216.77/x
  3. Step 3: Cross multiply
    346.97x = 520.04 × 216.77
  4. Step 4: Simplify right side
    346.97x = 112,727.01
  5. Step 5: Solve for x
    x = 112,727.01/346.97
  6. Step 6: Final answer
    x = 324.89

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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.