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Finding the Fourth Proportional to 364.58, 502.81 and 224.70

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Solution

The fourth proportional to 364.58, 502.81 and 224.70 is: 309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.58 : 502.81 = 224.70 : x
  2. Step 2: Convert to fraction form
    364.58/502.81 = 224.70/x
  3. Step 3: Cross multiply
    364.58x = 502.81 × 224.70
  4. Step 4: Simplify right side
    364.58x = 112,981.41
  5. Step 5: Solve for x
    x = 112,981.41/364.58
  6. Step 6: Final answer
    x = 309.89

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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.