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Finding the Fourth Proportional to 390.56, 585.60 and 185.12

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Solution

The fourth proportional to 390.56, 585.60 and 185.12 is: 277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.56 : 585.60 = 185.12 : x
  2. Step 2: Convert to fraction form
    390.56/585.60 = 185.12/x
  3. Step 3: Cross multiply
    390.56x = 585.60 × 185.12
  4. Step 4: Simplify right side
    390.56x = 108,406.27
  5. Step 5: Solve for x
    x = 108,406.27/390.56
  6. Step 6: Final answer
    x = 277.57

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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.