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Finding the Fourth Proportional to 277.02, 382.23 and 237.83

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Solution

The fourth proportional to 277.02, 382.23 and 237.83 is: 328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 382.23 = 237.83 : x
  2. Step 2: Convert to fraction form
    277.02/382.23 = 237.83/x
  3. Step 3: Cross multiply
    277.02x = 382.23 × 237.83
  4. Step 4: Simplify right side
    277.02x = 90,903.85
  5. Step 5: Solve for x
    x = 90,903.85/277.02
  6. Step 6: Final answer
    x = 328.15

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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.