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Finding the Fourth Proportional to 286.40, 430.56 and 226.26

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Solution

The fourth proportional to 286.40, 430.56 and 226.26 is: 340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.40 : 430.56 = 226.26 : x
  2. Step 2: Convert to fraction form
    286.40/430.56 = 226.26/x
  3. Step 3: Cross multiply
    286.40x = 430.56 × 226.26
  4. Step 4: Simplify right side
    286.40x = 97,418.51
  5. Step 5: Solve for x
    x = 97,418.51/286.40
  6. Step 6: Final answer
    x = 340.15

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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.