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Finding the Fourth Proportional to 510.42, 764.91 and 254.10

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Solution

The fourth proportional to 510.42, 764.91 and 254.10 is: 380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 764.91 = 254.10 : x
  2. Step 2: Convert to fraction form
    510.42/764.91 = 254.10/x
  3. Step 3: Cross multiply
    510.42x = 764.91 × 254.10
  4. Step 4: Simplify right side
    510.42x = 194,363.63
  5. Step 5: Solve for x
    x = 194,363.63/510.42
  6. Step 6: Final answer
    x = 380.79

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.