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Finding the Fourth Proportional to 505.49, 758.27 and 135.35

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Solution

The fourth proportional to 505.49, 758.27 and 135.35 is: 203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.49 : 758.27 = 135.35 : x
  2. Step 2: Convert to fraction form
    505.49/758.27 = 135.35/x
  3. Step 3: Cross multiply
    505.49x = 758.27 × 135.35
  4. Step 4: Simplify right side
    505.49x = 102,630.29
  5. Step 5: Solve for x
    x = 102,630.29/505.49
  6. Step 6: Final answer
    x = 203.03

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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.