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Finding the Fourth Proportional to 734.32, 1,101.16 and 278

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Solution

The fourth proportional to 734.32, 1,101.16 and 278 is: 416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.32 : 1,101.16 = 278 : x
  2. Step 2: Convert to fraction form
    734.32/1,101.16 = 278/x
  3. Step 3: Cross multiply
    734.32x = 1,101.16 × 278
  4. Step 4: Simplify right side
    734.32x = 306,122.48
  5. Step 5: Solve for x
    x = 306,122.48/734.32
  6. Step 6: Final answer
    x = 416.88

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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.