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Finding the Fourth Proportional to 281.49, 421.57 and 271.76

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Solution

The fourth proportional to 281.49, 421.57 and 271.76 is: 407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.49 : 421.57 = 271.76 : x
  2. Step 2: Convert to fraction form
    281.49/421.57 = 271.76/x
  3. Step 3: Cross multiply
    281.49x = 421.57 × 271.76
  4. Step 4: Simplify right side
    281.49x = 114,565.86
  5. Step 5: Solve for x
    x = 114,565.86/281.49
  6. Step 6: Final answer
    x = 407.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.