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Finding the Fourth Proportional to 510.39, 704.21 and 289.29

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Solution

The fourth proportional to 510.39, 704.21 and 289.29 is: 399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.39 : 704.21 = 289.29 : x
  2. Step 2: Convert to fraction form
    510.39/704.21 = 289.29/x
  3. Step 3: Cross multiply
    510.39x = 704.21 × 289.29
  4. Step 4: Simplify right side
    510.39x = 203,719.46
  5. Step 5: Solve for x
    x = 203,719.46/510.39
  6. Step 6: Final answer
    x = 399.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.