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Finding the Fourth Proportional to 277.45, 382.55 and 230.20

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Solution

The fourth proportional to 277.45, 382.55 and 230.20 is: 317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.45 : 382.55 = 230.20 : x
  2. Step 2: Convert to fraction form
    277.45/382.55 = 230.20/x
  3. Step 3: Cross multiply
    277.45x = 382.55 × 230.20
  4. Step 4: Simplify right side
    277.45x = 88,060.90
  5. Step 5: Solve for x
    x = 88,060.90/277.45
  6. Step 6: Final answer
    x = 317.40

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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.