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Finding the Fourth Proportional to 510.20, 763.67 and 266.40

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Solution

The fourth proportional to 510.20, 763.67 and 266.40 is: 398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 763.67 = 266.40 : x
  2. Step 2: Convert to fraction form
    510.20/763.67 = 266.40/x
  3. Step 3: Cross multiply
    510.20x = 763.67 × 266.40
  4. Step 4: Simplify right side
    510.20x = 203,441.69
  5. Step 5: Solve for x
    x = 203,441.69/510.20
  6. Step 6: Final answer
    x = 398.75

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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.