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Finding the Fourth Proportional to 356.34, 491.89 and 246.26

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Solution

The fourth proportional to 356.34, 491.89 and 246.26 is: 339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.34 : 491.89 = 246.26 : x
  2. Step 2: Convert to fraction form
    356.34/491.89 = 246.26/x
  3. Step 3: Cross multiply
    356.34x = 491.89 × 246.26
  4. Step 4: Simplify right side
    356.34x = 121,132.83
  5. Step 5: Solve for x
    x = 121,132.83/356.34
  6. Step 6: Final answer
    x = 339.94

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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.