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Finding the Fourth Proportional to 465.60, 698.16 and 249

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Solution

The fourth proportional to 465.60, 698.16 and 249 is: 373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 698.16 = 249 : x
  2. Step 2: Convert to fraction form
    465.60/698.16 = 249/x
  3. Step 3: Cross multiply
    465.60x = 698.16 × 249
  4. Step 4: Simplify right side
    465.60x = 173,841.84
  5. Step 5: Solve for x
    x = 173,841.84/465.60
  6. Step 6: Final answer
    x = 373.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.