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Finding the Fourth Proportional to 437.66, 603.77 and 280.21

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Solution

The fourth proportional to 437.66, 603.77 and 280.21 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.66 : 603.77 = 280.21 : x
  2. Step 2: Convert to fraction form
    437.66/603.77 = 280.21/x
  3. Step 3: Cross multiply
    437.66x = 603.77 × 280.21
  4. Step 4: Simplify right side
    437.66x = 169,182.39
  5. Step 5: Solve for x
    x = 169,182.39/437.66
  6. Step 6: Final answer
    x = 386.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.