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Finding the Fourth Proportional to 383.89, 575.35 and 210.45

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Solution

The fourth proportional to 383.89, 575.35 and 210.45 is: 315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.89 : 575.35 = 210.45 : x
  2. Step 2: Convert to fraction form
    383.89/575.35 = 210.45/x
  3. Step 3: Cross multiply
    383.89x = 575.35 × 210.45
  4. Step 4: Simplify right side
    383.89x = 121,081.99
  5. Step 5: Solve for x
    x = 121,081.99/383.89
  6. Step 6: Final answer
    x = 315.41

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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.