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Finding the Fourth Proportional to 356.23, 491.47 and 208.78

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Solution

The fourth proportional to 356.23, 491.47 and 208.78 is: 288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.23 : 491.47 = 208.78 : x
  2. Step 2: Convert to fraction form
    356.23/491.47 = 208.78/x
  3. Step 3: Cross multiply
    356.23x = 491.47 × 208.78
  4. Step 4: Simplify right side
    356.23x = 102,609.11
  5. Step 5: Solve for x
    x = 102,609.11/356.23
  6. Step 6: Final answer
    x = 288.04

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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.