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Finding the Fourth Proportional to 357.27, 492.78 and 287.40

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Solution

The fourth proportional to 357.27, 492.78 and 287.40 is: 396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.27 : 492.78 = 287.40 : x
  2. Step 2: Convert to fraction form
    357.27/492.78 = 287.40/x
  3. Step 3: Cross multiply
    357.27x = 492.78 × 287.40
  4. Step 4: Simplify right side
    357.27x = 141,624.97
  5. Step 5: Solve for x
    x = 141,624.97/357.27
  6. Step 6: Final answer
    x = 396.41

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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.