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Finding the Fourth Proportional to 734.24, 1,101.40 and 214.31

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Solution

The fourth proportional to 734.24, 1,101.40 and 214.31 is: 321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.24 : 1,101.40 = 214.31 : x
  2. Step 2: Convert to fraction form
    734.24/1,101.40 = 214.31/x
  3. Step 3: Cross multiply
    734.24x = 1,101.40 × 214.31
  4. Step 4: Simplify right side
    734.24x = 236,043.25
  5. Step 5: Solve for x
    x = 236,043.25/734.24
  6. Step 6: Final answer
    x = 321.48

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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.