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Finding the Fourth Proportional to 356.48, 491.82 and 232.16

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Solution

The fourth proportional to 356.48, 491.82 and 232.16 is: 320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.48 : 491.82 = 232.16 : x
  2. Step 2: Convert to fraction form
    356.48/491.82 = 232.16/x
  3. Step 3: Cross multiply
    356.48x = 491.82 × 232.16
  4. Step 4: Simplify right side
    356.48x = 114,180.93
  5. Step 5: Solve for x
    x = 114,180.93/356.48
  6. Step 6: Final answer
    x = 320.30

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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.