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Finding the Fourth Proportional to 364.19, 502.61 and 216.83

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Solution

The fourth proportional to 364.19, 502.61 and 216.83 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.19 : 502.61 = 216.83 : x
  2. Step 2: Convert to fraction form
    364.19/502.61 = 216.83/x
  3. Step 3: Cross multiply
    364.19x = 502.61 × 216.83
  4. Step 4: Simplify right side
    364.19x = 108,979.84
  5. Step 5: Solve for x
    x = 108,979.84/364.19
  6. Step 6: Final answer
    x = 299.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.