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Finding the Fourth Proportional to 364.42, 502.90 and 209.18

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Solution

The fourth proportional to 364.42, 502.90 and 209.18 is: 288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.42 : 502.90 = 209.18 : x
  2. Step 2: Convert to fraction form
    364.42/502.90 = 209.18/x
  3. Step 3: Cross multiply
    364.42x = 502.90 × 209.18
  4. Step 4: Simplify right side
    364.42x = 105,196.62
  5. Step 5: Solve for x
    x = 105,196.62/364.42
  6. Step 6: Final answer
    x = 288.67

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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.