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Finding the Fourth Proportional to 435.35, 600.78 and 248.84

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Solution

The fourth proportional to 435.35, 600.78 and 248.84 is: 343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.35 : 600.78 = 248.84 : x
  2. Step 2: Convert to fraction form
    435.35/600.78 = 248.84/x
  3. Step 3: Cross multiply
    435.35x = 600.78 × 248.84
  4. Step 4: Simplify right side
    435.35x = 149,498.10
  5. Step 5: Solve for x
    x = 149,498.10/435.35
  6. Step 6: Final answer
    x = 343.40

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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.