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Finding the Fourth Proportional to 505.71, 758.14 and 270.93

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Solution

The fourth proportional to 505.71, 758.14 and 270.93 is: 406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.71 : 758.14 = 270.93 : x
  2. Step 2: Convert to fraction form
    505.71/758.14 = 270.93/x
  3. Step 3: Cross multiply
    505.71x = 758.14 × 270.93
  4. Step 4: Simplify right side
    505.71x = 205,400.37
  5. Step 5: Solve for x
    x = 205,400.37/505.71
  6. Step 6: Final answer
    x = 406.16

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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.