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Finding the Fourth Proportional to 390.22, 588.23 and 361.06

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Solution

The fourth proportional to 390.22, 588.23 and 361.06 is: 544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.22 : 588.23 = 361.06 : x
  2. Step 2: Convert to fraction form
    390.22/588.23 = 361.06/x
  3. Step 3: Cross multiply
    390.22x = 588.23 × 361.06
  4. Step 4: Simplify right side
    390.22x = 212,386.32
  5. Step 5: Solve for x
    x = 212,386.32/390.22
  6. Step 6: Final answer
    x = 544.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.