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Finding the Fourth Proportional to 514.25, 709.66 and 293.18

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Solution

The fourth proportional to 514.25, 709.66 and 293.18 is: 404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.25 : 709.66 = 293.18 : x
  2. Step 2: Convert to fraction form
    514.25/709.66 = 293.18/x
  3. Step 3: Cross multiply
    514.25x = 709.66 × 293.18
  4. Step 4: Simplify right side
    514.25x = 208,059.16
  5. Step 5: Solve for x
    x = 208,059.16/514.25
  6. Step 6: Final answer
    x = 404.59

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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.