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Finding the Fourth Proportional to 734.91, 1,102.38 and 214.95

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Solution

The fourth proportional to 734.91, 1,102.38 and 214.95 is: 322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.91 : 1,102.38 = 214.95 : x
  2. Step 2: Convert to fraction form
    734.91/1,102.38 = 214.95/x
  3. Step 3: Cross multiply
    734.91x = 1,102.38 × 214.95
  4. Step 4: Simplify right side
    734.91x = 236,956.58
  5. Step 5: Solve for x
    x = 236,956.58/734.91
  6. Step 6: Final answer
    x = 322.43

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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.