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Finding the Fourth Proportional to 356.74, 492.23 and 209.30

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Solution

The fourth proportional to 356.74, 492.23 and 209.30 is: 288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.74 : 492.23 = 209.30 : x
  2. Step 2: Convert to fraction form
    356.74/492.23 = 209.30/x
  3. Step 3: Cross multiply
    356.74x = 492.23 × 209.30
  4. Step 4: Simplify right side
    356.74x = 103,023.74
  5. Step 5: Solve for x
    x = 103,023.74/356.74
  6. Step 6: Final answer
    x = 288.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.