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Finding the Fourth Proportional to 287.88, 399.33 and 277.80

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Solution

The fourth proportional to 287.88, 399.33 and 277.80 is: 385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.88 : 399.33 = 277.80 : x
  2. Step 2: Convert to fraction form
    287.88/399.33 = 277.80/x
  3. Step 3: Cross multiply
    287.88x = 399.33 × 277.80
  4. Step 4: Simplify right side
    287.88x = 110,933.87
  5. Step 5: Solve for x
    x = 110,933.87/287.88
  6. Step 6: Final answer
    x = 385.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.