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Finding the Fourth Proportional to 510.18, 764.90 and 163.40

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Solution

The fourth proportional to 510.18, 764.90 and 163.40 is: 244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.18 : 764.90 = 163.40 : x
  2. Step 2: Convert to fraction form
    510.18/764.90 = 163.40/x
  3. Step 3: Cross multiply
    510.18x = 764.90 × 163.40
  4. Step 4: Simplify right side
    510.18x = 124,984.66
  5. Step 5: Solve for x
    x = 124,984.66/510.18
  6. Step 6: Final answer
    x = 244.98

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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.