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Finding the Fourth Proportional to 553.94, 830.60 and 265.22

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Solution

The fourth proportional to 553.94, 830.60 and 265.22 is: 397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.94 : 830.60 = 265.22 : x
  2. Step 2: Convert to fraction form
    553.94/830.60 = 265.22/x
  3. Step 3: Cross multiply
    553.94x = 830.60 × 265.22
  4. Step 4: Simplify right side
    553.94x = 220,288.24
  5. Step 5: Solve for x
    x = 220,288.24/553.94
  6. Step 6: Final answer
    x = 397.68

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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.