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Finding the Fourth Proportional to 364.78, 502.62 and 248.14

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Solution

The fourth proportional to 364.78, 502.62 and 248.14 is: 341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 502.62 = 248.14 : x
  2. Step 2: Convert to fraction form
    364.78/502.62 = 248.14/x
  3. Step 3: Cross multiply
    364.78x = 502.62 × 248.14
  4. Step 4: Simplify right side
    364.78x = 124,720.13
  5. Step 5: Solve for x
    x = 124,720.13/364.78
  6. Step 6: Final answer
    x = 341.91

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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.