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Finding the Fourth Proportional to 280.88, 419.36 and 242.32

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Solution

The fourth proportional to 280.88, 419.36 and 242.32 is: 361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.88 : 419.36 = 242.32 : x
  2. Step 2: Convert to fraction form
    280.88/419.36 = 242.32/x
  3. Step 3: Cross multiply
    280.88x = 419.36 × 242.32
  4. Step 4: Simplify right side
    280.88x = 101,619.32
  5. Step 5: Solve for x
    x = 101,619.32/280.88
  6. Step 6: Final answer
    x = 361.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.