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Finding the Fourth Proportional to 510.26, 704.14 and 289.21

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Solution

The fourth proportional to 510.26, 704.14 and 289.21 is: 399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.26 : 704.14 = 289.21 : x
  2. Step 2: Convert to fraction form
    510.26/704.14 = 289.21/x
  3. Step 3: Cross multiply
    510.26x = 704.14 × 289.21
  4. Step 4: Simplify right side
    510.26x = 203,639.36
  5. Step 5: Solve for x
    x = 203,639.36/510.26
  6. Step 6: Final answer
    x = 399.09

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Double scale
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Similar ratio
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1.5x scale

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.