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Finding the Fourth Proportional to 280.35, 420.66 and 158.65

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Solution

The fourth proportional to 280.35, 420.66 and 158.65 is: 238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.35 : 420.66 = 158.65 : x
  2. Step 2: Convert to fraction form
    280.35/420.66 = 158.65/x
  3. Step 3: Cross multiply
    280.35x = 420.66 × 158.65
  4. Step 4: Simplify right side
    280.35x = 66,736.66
  5. Step 5: Solve for x
    x = 66,736.66/280.35
  6. Step 6: Final answer
    x = 238.05

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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.