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Finding the Fourth Proportional to 281.94, 425.45 and 271.77

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Solution

The fourth proportional to 281.94, 425.45 and 271.77 is: 410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.94 : 425.45 = 271.77 : x
  2. Step 2: Convert to fraction form
    281.94/425.45 = 271.77/x
  3. Step 3: Cross multiply
    281.94x = 425.45 × 271.77
  4. Step 4: Simplify right side
    281.94x = 115,624.55
  5. Step 5: Solve for x
    x = 115,624.55/281.94
  6. Step 6: Final answer
    x = 410.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.