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Finding the Fourth Proportional to 356.39, 491.91 and 232.36

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Solution

The fourth proportional to 356.39, 491.91 and 232.36 is: 320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.39 : 491.91 = 232.36 : x
  2. Step 2: Convert to fraction form
    356.39/491.91 = 232.36/x
  3. Step 3: Cross multiply
    356.39x = 491.91 × 232.36
  4. Step 4: Simplify right side
    356.39x = 114,300.21
  5. Step 5: Solve for x
    x = 114,300.21/356.39
  6. Step 6: Final answer
    x = 320.72

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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.