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Finding the Fourth Proportional to 505.58, 758.36 and 231.93

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Solution

The fourth proportional to 505.58, 758.36 and 231.93 is: 347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.58 : 758.36 = 231.93 : x
  2. Step 2: Convert to fraction form
    505.58/758.36 = 231.93/x
  3. Step 3: Cross multiply
    505.58x = 758.36 × 231.93
  4. Step 4: Simplify right side
    505.58x = 175,887.01
  5. Step 5: Solve for x
    x = 175,887.01/505.58
  6. Step 6: Final answer
    x = 347.90

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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.