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Finding the Fourth Proportional to 280.40, 420 and 177.56

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Solution

The fourth proportional to 280.40, 420 and 177.56 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.40 : 420 = 177.56 : x
  2. Step 2: Convert to fraction form
    280.40/420 = 177.56/x
  3. Step 3: Cross multiply
    280.40x = 420 × 177.56
  4. Step 4: Simplify right side
    280.40x = 74,575.20
  5. Step 5: Solve for x
    x = 74,575.20/280.40
  6. Step 6: Final answer
    x = 265.96

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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.