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Finding the Fourth Proportional to 366.77, 505.95 and 248.75

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Solution

The fourth proportional to 366.77, 505.95 and 248.75 is: 343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.77 : 505.95 = 248.75 : x
  2. Step 2: Convert to fraction form
    366.77/505.95 = 248.75/x
  3. Step 3: Cross multiply
    366.77x = 505.95 × 248.75
  4. Step 4: Simplify right side
    366.77x = 125,855.06
  5. Step 5: Solve for x
    x = 125,855.06/366.77
  6. Step 6: Final answer
    x = 343.14

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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.