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Finding the Fourth Proportional to 280.32, 419.84 and 135.68

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Solution

The fourth proportional to 280.32, 419.84 and 135.68 is: 203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.32 : 419.84 = 135.68 : x
  2. Step 2: Convert to fraction form
    280.32/419.84 = 135.68/x
  3. Step 3: Cross multiply
    280.32x = 419.84 × 135.68
  4. Step 4: Simplify right side
    280.32x = 56,963.89
  5. Step 5: Solve for x
    x = 56,963.89/280.32
  6. Step 6: Final answer
    x = 203.21

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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.