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Finding the Fourth Proportional to 962.14, 1,443.17 and 278.14

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Solution

The fourth proportional to 962.14, 1,443.17 and 278.14 is: 417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.14 : 1,443.17 = 278.14 : x
  2. Step 2: Convert to fraction form
    962.14/1,443.17 = 278.14/x
  3. Step 3: Cross multiply
    962.14x = 1,443.17 × 278.14
  4. Step 4: Simplify right side
    962.14x = 401,403.30
  5. Step 5: Solve for x
    x = 401,403.30/962.14
  6. Step 6: Final answer
    x = 417.20

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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.