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Finding the Fourth Proportional to 505.32, 757.62 and 241.47

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Solution

The fourth proportional to 505.32, 757.62 and 241.47 is: 362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.32 : 757.62 = 241.47 : x
  2. Step 2: Convert to fraction form
    505.32/757.62 = 241.47/x
  3. Step 3: Cross multiply
    505.32x = 757.62 × 241.47
  4. Step 4: Simplify right side
    505.32x = 182,942.50
  5. Step 5: Solve for x
    x = 182,942.50/505.32
  6. Step 6: Final answer
    x = 362.03

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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.