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Finding the Fourth Proportional to 364.13, 502.51 and 216.80

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Solution

The fourth proportional to 364.13, 502.51 and 216.80 is: 299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.13 : 502.51 = 216.80 : x
  2. Step 2: Convert to fraction form
    364.13/502.51 = 216.80/x
  3. Step 3: Cross multiply
    364.13x = 502.51 × 216.80
  4. Step 4: Simplify right side
    364.13x = 108,944.17
  5. Step 5: Solve for x
    x = 108,944.17/364.13
  6. Step 6: Final answer
    x = 299.19

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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.