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Finding the Fourth Proportional to 364.55, 502.94 and 222.71

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Solution

The fourth proportional to 364.55, 502.94 and 222.71 is: 307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.55 : 502.94 = 222.71 : x
  2. Step 2: Convert to fraction form
    364.55/502.94 = 222.71/x
  3. Step 3: Cross multiply
    364.55x = 502.94 × 222.71
  4. Step 4: Simplify right side
    364.55x = 112,007.81
  5. Step 5: Solve for x
    x = 112,007.81/364.55
  6. Step 6: Final answer
    x = 307.25

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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.