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Finding the Fourth Proportional to 801.42, 1,202.14 and 253.60

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Solution

The fourth proportional to 801.42, 1,202.14 and 253.60 is: 380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.42 : 1,202.14 = 253.60 : x
  2. Step 2: Convert to fraction form
    801.42/1,202.14 = 253.60/x
  3. Step 3: Cross multiply
    801.42x = 1,202.14 × 253.60
  4. Step 4: Simplify right side
    801.42x = 304,865.35
  5. Step 5: Solve for x
    x = 304,865.35/801.42
  6. Step 6: Final answer
    x = 380.41

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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.