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Finding the Fourth Proportional to 394.35, 590.70 and 188.30

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Solution

The fourth proportional to 394.35, 590.70 and 188.30 is: 282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.35 : 590.70 = 188.30 : x
  2. Step 2: Convert to fraction form
    394.35/590.70 = 188.30/x
  3. Step 3: Cross multiply
    394.35x = 590.70 × 188.30
  4. Step 4: Simplify right side
    394.35x = 111,225.86
  5. Step 5: Solve for x
    x = 111,225.86/394.35
  6. Step 6: Final answer
    x = 282.05

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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.