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Finding the Fourth Proportional to 553.43, 830.23 and 224.46

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Solution

The fourth proportional to 553.43, 830.23 and 224.46 is: 336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.43 : 830.23 = 224.46 : x
  2. Step 2: Convert to fraction form
    553.43/830.23 = 224.46/x
  3. Step 3: Cross multiply
    553.43x = 830.23 × 224.46
  4. Step 4: Simplify right side
    553.43x = 186,352.86
  5. Step 5: Solve for x
    x = 186,352.86/553.43
  6. Step 6: Final answer
    x = 336.72

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1.5x scale

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.