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Finding the Fourth Proportional to 510.96, 766.62 and 222.60

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Solution

The fourth proportional to 510.96, 766.62 and 222.60 is: 333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 766.62 = 222.60 : x
  2. Step 2: Convert to fraction form
    510.96/766.62 = 222.60/x
  3. Step 3: Cross multiply
    510.96x = 766.62 × 222.60
  4. Step 4: Simplify right side
    510.96x = 170,649.61
  5. Step 5: Solve for x
    x = 170,649.61/510.96
  6. Step 6: Final answer
    x = 333.98

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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.