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Finding the Fourth Proportional to 356.96, 491.44 and 305.12

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Solution

The fourth proportional to 356.96, 491.44 and 305.12 is: 420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.96 : 491.44 = 305.12 : x
  2. Step 2: Convert to fraction form
    356.96/491.44 = 305.12/x
  3. Step 3: Cross multiply
    356.96x = 491.44 × 305.12
  4. Step 4: Simplify right side
    356.96x = 149,948.17
  5. Step 5: Solve for x
    x = 149,948.17/356.96
  6. Step 6: Final answer
    x = 420.07

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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.