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Finding the Fourth Proportional to 390.38, 585.05 and 185.01

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Solution

The fourth proportional to 390.38, 585.05 and 185.01 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.38 : 585.05 = 185.01 : x
  2. Step 2: Convert to fraction form
    390.38/585.05 = 185.01/x
  3. Step 3: Cross multiply
    390.38x = 585.05 × 185.01
  4. Step 4: Simplify right side
    390.38x = 108,240.10
  5. Step 5: Solve for x
    x = 108,240.10/390.38
  6. Step 6: Final answer
    x = 277.27

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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.