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Finding the Fourth Proportional to 356.65, 491.78 and 232.11

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Solution

The fourth proportional to 356.65, 491.78 and 232.11 is: 320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.65 : 491.78 = 232.11 : x
  2. Step 2: Convert to fraction form
    356.65/491.78 = 232.11/x
  3. Step 3: Cross multiply
    356.65x = 491.78 × 232.11
  4. Step 4: Simplify right side
    356.65x = 114,146.48
  5. Step 5: Solve for x
    x = 114,146.48/356.65
  6. Step 6: Final answer
    x = 320.05

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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.