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Finding the Fourth Proportional to 280.20, 419.64 and 242.10

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Solution

The fourth proportional to 280.20, 419.64 and 242.10 is: 362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.20 : 419.64 = 242.10 : x
  2. Step 2: Convert to fraction form
    280.20/419.64 = 242.10/x
  3. Step 3: Cross multiply
    280.20x = 419.64 × 242.10
  4. Step 4: Simplify right side
    280.20x = 101,594.84
  5. Step 5: Solve for x
    x = 101,594.84/280.20
  6. Step 6: Final answer
    x = 362.58

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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.