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Finding the Fourth Proportional to 280.56, 420.09 and 158.64

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Solution

The fourth proportional to 280.56, 420.09 and 158.64 is: 237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.56 : 420.09 = 158.64 : x
  2. Step 2: Convert to fraction form
    280.56/420.09 = 158.64/x
  3. Step 3: Cross multiply
    280.56x = 420.09 × 158.64
  4. Step 4: Simplify right side
    280.56x = 66,643.08
  5. Step 5: Solve for x
    x = 66,643.08/280.56
  6. Step 6: Final answer
    x = 237.54

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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.