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Finding the Fourth Proportional to 553.98, 831.12 and 280.32

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Solution

The fourth proportional to 553.98, 831.12 and 280.32 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.98 : 831.12 = 280.32 : x
  2. Step 2: Convert to fraction form
    553.98/831.12 = 280.32/x
  3. Step 3: Cross multiply
    553.98x = 831.12 × 280.32
  4. Step 4: Simplify right side
    553.98x = 232,979.56
  5. Step 5: Solve for x
    x = 232,979.56/553.98
  6. Step 6: Final answer
    x = 420.56

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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.