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Finding the Fourth Proportional to 280.88, 420.24 and 245.24

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Solution

The fourth proportional to 280.88, 420.24 and 245.24 is: 366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.88 : 420.24 = 245.24 : x
  2. Step 2: Convert to fraction form
    280.88/420.24 = 245.24/x
  3. Step 3: Cross multiply
    280.88x = 420.24 × 245.24
  4. Step 4: Simplify right side
    280.88x = 103,059.66
  5. Step 5: Solve for x
    x = 103,059.66/280.88
  6. Step 6: Final answer
    x = 366.92

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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.