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Finding the Fourth Proportional to 532.14, 734.60 and 355.40

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Solution

The fourth proportional to 532.14, 734.60 and 355.40 is: 490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 734.60 = 355.40 : x
  2. Step 2: Convert to fraction form
    532.14/734.60 = 355.40/x
  3. Step 3: Cross multiply
    532.14x = 734.60 × 355.40
  4. Step 4: Simplify right side
    532.14x = 261,076.84
  5. Step 5: Solve for x
    x = 261,076.84/532.14
  6. Step 6: Final answer
    x = 490.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.