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Finding the Fourth Proportional to 280.80, 418.91 and 242.64

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Solution

The fourth proportional to 280.80, 418.91 and 242.64 is: 361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.80 : 418.91 = 242.64 : x
  2. Step 2: Convert to fraction form
    280.80/418.91 = 242.64/x
  3. Step 3: Cross multiply
    280.80x = 418.91 × 242.64
  4. Step 4: Simplify right side
    280.80x = 101,643.11
  5. Step 5: Solve for x
    x = 101,643.11/280.80
  6. Step 6: Final answer
    x = 361.98

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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.