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Finding the Fourth Proportional to 510.40, 764.76 and 266.56

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Solution

The fourth proportional to 510.40, 764.76 and 266.56 is: 399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.40 : 764.76 = 266.56 : x
  2. Step 2: Convert to fraction form
    510.40/764.76 = 266.56/x
  3. Step 3: Cross multiply
    510.40x = 764.76 × 266.56
  4. Step 4: Simplify right side
    510.40x = 203,854.43
  5. Step 5: Solve for x
    x = 203,854.43/510.40
  6. Step 6: Final answer
    x = 399.40

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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.