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Finding the Fourth Proportional to 418.16, 626.90 and 361.06

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Solution

The fourth proportional to 418.16, 626.90 and 361.06 is: 541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.16 : 626.90 = 361.06 : x
  2. Step 2: Convert to fraction form
    418.16/626.90 = 361.06/x
  3. Step 3: Cross multiply
    418.16x = 626.90 × 361.06
  4. Step 4: Simplify right side
    418.16x = 226,348.51
  5. Step 5: Solve for x
    x = 226,348.51/418.16
  6. Step 6: Final answer
    x = 541.30

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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.