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Finding the Fourth Proportional to 390.21, 585.14 and 146.56

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Solution

The fourth proportional to 390.21, 585.14 and 146.56 is: 219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.21 : 585.14 = 146.56 : x
  2. Step 2: Convert to fraction form
    390.21/585.14 = 146.56/x
  3. Step 3: Cross multiply
    390.21x = 585.14 × 146.56
  4. Step 4: Simplify right side
    390.21x = 85,757.39
  5. Step 5: Solve for x
    x = 85,757.39/390.21
  6. Step 6: Final answer
    x = 219.78

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Why These Related Problems?

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