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Finding the Fourth Proportional to 904.13, 1,356.20 and 220.13

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Solution

The fourth proportional to 904.13, 1,356.20 and 220.13 is: 330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.13 : 1,356.20 = 220.13 : x
  2. Step 2: Convert to fraction form
    904.13/1,356.20 = 220.13/x
  3. Step 3: Cross multiply
    904.13x = 1,356.20 × 220.13
  4. Step 4: Simplify right side
    904.13x = 298,532.42
  5. Step 5: Solve for x
    x = 298,532.42/904.13
  6. Step 6: Final answer
    x = 330.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.