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Finding the Fourth Proportional to 364.77, 502.88 and 248.13

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Solution

The fourth proportional to 364.77, 502.88 and 248.13 is: 342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.77 : 502.88 = 248.13 : x
  2. Step 2: Convert to fraction form
    364.77/502.88 = 248.13/x
  3. Step 3: Cross multiply
    364.77x = 502.88 × 248.13
  4. Step 4: Simplify right side
    364.77x = 124,778.37
  5. Step 5: Solve for x
    x = 124,778.37/364.77
  6. Step 6: Final answer
    x = 342.07

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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.