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Finding the Fourth Proportional to 356.29, 491.74 and 208.89

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Solution

The fourth proportional to 356.29, 491.74 and 208.89 is: 288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.29 : 491.74 = 208.89 : x
  2. Step 2: Convert to fraction form
    356.29/491.74 = 208.89/x
  3. Step 3: Cross multiply
    356.29x = 491.74 × 208.89
  4. Step 4: Simplify right side
    356.29x = 102,719.05
  5. Step 5: Solve for x
    x = 102,719.05/356.29
  6. Step 6: Final answer
    x = 288.30

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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.