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Finding the Fourth Proportional to 505.75, 758.75 and 197.63

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Solution

The fourth proportional to 505.75, 758.75 and 197.63 is: 296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.75 : 758.75 = 197.63 : x
  2. Step 2: Convert to fraction form
    505.75/758.75 = 197.63/x
  3. Step 3: Cross multiply
    505.75x = 758.75 × 197.63
  4. Step 4: Simplify right side
    505.75x = 149,951.76
  5. Step 5: Solve for x
    x = 149,951.76/505.75
  6. Step 6: Final answer
    x = 296.49

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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.