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Finding the Fourth Proportional to 505.69, 758.53 and 159.02

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Solution

The fourth proportional to 505.69, 758.53 and 159.02 is: 238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 758.53 = 159.02 : x
  2. Step 2: Convert to fraction form
    505.69/758.53 = 159.02/x
  3. Step 3: Cross multiply
    505.69x = 758.53 × 159.02
  4. Step 4: Simplify right side
    505.69x = 120,621.44
  5. Step 5: Solve for x
    x = 120,621.44/505.69
  6. Step 6: Final answer
    x = 238.53

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Similar ratio
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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.