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Finding the Fourth Proportional to 280.43, 420.47 and 136.07

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Solution

The fourth proportional to 280.43, 420.47 and 136.07 is: 204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.43 : 420.47 = 136.07 : x
  2. Step 2: Convert to fraction form
    280.43/420.47 = 136.07/x
  3. Step 3: Cross multiply
    280.43x = 420.47 × 136.07
  4. Step 4: Simplify right side
    280.43x = 57,212.67
  5. Step 5: Solve for x
    x = 57,212.67/280.43
  6. Step 6: Final answer
    x = 204.02

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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.