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Finding the Fourth Proportional to 510.81, 765.75 and 267.06

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Solution

The fourth proportional to 510.81, 765.75 and 267.06 is: 400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.81 : 765.75 = 267.06 : x
  2. Step 2: Convert to fraction form
    510.81/765.75 = 267.06/x
  3. Step 3: Cross multiply
    510.81x = 765.75 × 267.06
  4. Step 4: Simplify right side
    510.81x = 204,501.20
  5. Step 5: Solve for x
    x = 204,501.20/510.81
  6. Step 6: Final answer
    x = 400.35

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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.