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Finding the Fourth Proportional to 280.76, 421.22 and 280.76

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Solution

The fourth proportional to 280.76, 421.22 and 280.76 is: 421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.76 : 421.22 = 280.76 : x
  2. Step 2: Convert to fraction form
    280.76/421.22 = 280.76/x
  3. Step 3: Cross multiply
    280.76x = 421.22 × 280.76
  4. Step 4: Simplify right side
    280.76x = 118,263.48
  5. Step 5: Solve for x
    x = 118,263.48/280.76
  6. Step 6: Final answer
    x = 421.22

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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.