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Finding the Fourth Proportional to 280.77, 421.21 and 150.91

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Solution

The fourth proportional to 280.77, 421.21 and 150.91 is: 226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.77 : 421.21 = 150.91 : x
  2. Step 2: Convert to fraction form
    280.77/421.21 = 150.91/x
  3. Step 3: Cross multiply
    280.77x = 421.21 × 150.91
  4. Step 4: Simplify right side
    280.77x = 63,565.88
  5. Step 5: Solve for x
    x = 63,565.88/280.77
  6. Step 6: Final answer
    x = 226.39

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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.