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Finding the Fourth Proportional to 369.43, 553.80 and 150.02

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Solution

The fourth proportional to 369.43, 553.80 and 150.02 is: 224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.43 : 553.80 = 150.02 : x
  2. Step 2: Convert to fraction form
    369.43/553.80 = 150.02/x
  3. Step 3: Cross multiply
    369.43x = 553.80 × 150.02
  4. Step 4: Simplify right side
    369.43x = 83,080.95
  5. Step 5: Solve for x
    x = 83,080.95/369.43
  6. Step 6: Final answer
    x = 224.89

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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.