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Finding the Fourth Proportional to 277.18, 382.28 and 235.87

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Solution

The fourth proportional to 277.18, 382.28 and 235.87 is: 325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.18 : 382.28 = 235.87 : x
  2. Step 2: Convert to fraction form
    277.18/382.28 = 235.87/x
  3. Step 3: Cross multiply
    277.18x = 382.28 × 235.87
  4. Step 4: Simplify right side
    277.18x = 90,166.25
  5. Step 5: Solve for x
    x = 90,166.25/277.18
  6. Step 6: Final answer
    x = 325.30

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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.