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Finding the Fourth Proportional to 280.02, 419.77 and 106.64

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Solution

The fourth proportional to 280.02, 419.77 and 106.64 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.02 : 419.77 = 106.64 : x
  2. Step 2: Convert to fraction form
    280.02/419.77 = 106.64/x
  3. Step 3: Cross multiply
    280.02x = 419.77 × 106.64
  4. Step 4: Simplify right side
    280.02x = 44,761.64
  5. Step 5: Solve for x
    x = 44,761.64/280.02
  6. Step 6: Final answer
    x = 159.85

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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.