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Finding the Fourth Proportional to 401.69, 602.64 and 280.73

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Solution

The fourth proportional to 401.69, 602.64 and 280.73 is: 421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.69 : 602.64 = 280.73 : x
  2. Step 2: Convert to fraction form
    401.69/602.64 = 280.73/x
  3. Step 3: Cross multiply
    401.69x = 602.64 × 280.73
  4. Step 4: Simplify right side
    401.69x = 169,176.11
  5. Step 5: Solve for x
    x = 169,176.11/401.69
  6. Step 6: Final answer
    x = 421.17

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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.