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Finding the Fourth Proportional to 354, 488.76 and 250.32

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Solution

The fourth proportional to 354, 488.76 and 250.32 is: 345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    354 : 488.76 = 250.32 : x
  2. Step 2: Convert to fraction form
    354/488.76 = 250.32/x
  3. Step 3: Cross multiply
    354x = 488.76 × 250.32
  4. Step 4: Simplify right side
    354x = 122,346.40
  5. Step 5: Solve for x
    x = 122,346.40/354
  6. Step 6: Final answer
    x = 345.61

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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.