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Finding the Fourth Proportional to 364.45, 502.97 and 302.17

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Solution

The fourth proportional to 364.45, 502.97 and 302.17 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.45 : 502.97 = 302.17 : x
  2. Step 2: Convert to fraction form
    364.45/502.97 = 302.17/x
  3. Step 3: Cross multiply
    364.45x = 502.97 × 302.17
  4. Step 4: Simplify right side
    364.45x = 151,982.44
  5. Step 5: Solve for x
    x = 151,982.44/364.45
  6. Step 6: Final answer
    x = 417.02

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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.