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Finding the Fourth Proportional to 356.27, 491.64 and 239.75

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Solution

The fourth proportional to 356.27, 491.64 and 239.75 is: 330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.27 : 491.64 = 239.75 : x
  2. Step 2: Convert to fraction form
    356.27/491.64 = 239.75/x
  3. Step 3: Cross multiply
    356.27x = 491.64 × 239.75
  4. Step 4: Simplify right side
    356.27x = 117,870.69
  5. Step 5: Solve for x
    x = 117,870.69/356.27
  6. Step 6: Final answer
    x = 330.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.