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Finding the Fourth Proportional to 369.03, 553.02 and 265.83

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Solution

The fourth proportional to 369.03, 553.02 and 265.83 is: 398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.03 : 553.02 = 265.83 : x
  2. Step 2: Convert to fraction form
    369.03/553.02 = 265.83/x
  3. Step 3: Cross multiply
    369.03x = 553.02 × 265.83
  4. Step 4: Simplify right side
    369.03x = 147,009.31
  5. Step 5: Solve for x
    x = 147,009.31/369.03
  6. Step 6: Final answer
    x = 398.37

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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.