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Finding the Fourth Proportional to 492.21, 734.49 and 388.35

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Solution

The fourth proportional to 492.21, 734.49 and 388.35 is: 579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.21 : 734.49 = 388.35 : x
  2. Step 2: Convert to fraction form
    492.21/734.49 = 388.35/x
  3. Step 3: Cross multiply
    492.21x = 734.49 × 388.35
  4. Step 4: Simplify right side
    492.21x = 285,239.19
  5. Step 5: Solve for x
    x = 285,239.19/492.21
  6. Step 6: Final answer
    x = 579.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.