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Finding the Fourth Proportional to 553.81, 831.12 and 279.92

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Solution

The fourth proportional to 553.81, 831.12 and 279.92 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.81 : 831.12 = 279.92 : x
  2. Step 2: Convert to fraction form
    553.81/831.12 = 279.92/x
  3. Step 3: Cross multiply
    553.81x = 831.12 × 279.92
  4. Step 4: Simplify right side
    553.81x = 232,645.71
  5. Step 5: Solve for x
    x = 232,645.71/553.81
  6. Step 6: Final answer
    x = 420.08

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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.