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Finding the Fourth Proportional to 358.56, 492.75 and 280.80

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Solution

The fourth proportional to 358.56, 492.75 and 280.80 is: 385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.56 : 492.75 = 280.80 : x
  2. Step 2: Convert to fraction form
    358.56/492.75 = 280.80/x
  3. Step 3: Cross multiply
    358.56x = 492.75 × 280.80
  4. Step 4: Simplify right side
    358.56x = 138,364.20
  5. Step 5: Solve for x
    x = 138,364.20/358.56
  6. Step 6: Final answer
    x = 385.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.