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Finding the Fourth Proportional to 553.64, 829.92 and 265.28

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Solution

The fourth proportional to 553.64, 829.92 and 265.28 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.64 : 829.92 = 265.28 : x
  2. Step 2: Convert to fraction form
    553.64/829.92 = 265.28/x
  3. Step 3: Cross multiply
    553.64x = 829.92 × 265.28
  4. Step 4: Simplify right side
    553.64x = 220,161.18
  5. Step 5: Solve for x
    x = 220,161.18/553.64
  6. Step 6: Final answer
    x = 397.66

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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.