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Finding the Fourth Proportional to 280.48, 418.92 and 242.08

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Solution

The fourth proportional to 280.48, 418.92 and 242.08 is: 361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.48 : 418.92 = 242.08 : x
  2. Step 2: Convert to fraction form
    280.48/418.92 = 242.08/x
  3. Step 3: Cross multiply
    280.48x = 418.92 × 242.08
  4. Step 4: Simplify right side
    280.48x = 101,412.15
  5. Step 5: Solve for x
    x = 101,412.15/280.48
  6. Step 6: Final answer
    x = 361.57

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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.