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Finding the Fourth Proportional to 810.11, 1,215.04 and 262.31

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Solution

The fourth proportional to 810.11, 1,215.04 and 262.31 is: 393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.11 : 1,215.04 = 262.31 : x
  2. Step 2: Convert to fraction form
    810.11/1,215.04 = 262.31/x
  3. Step 3: Cross multiply
    810.11x = 1,215.04 × 262.31
  4. Step 4: Simplify right side
    810.11x = 318,717.14
  5. Step 5: Solve for x
    x = 318,717.14/810.11
  6. Step 6: Final answer
    x = 393.42

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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.