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Finding the Fourth Proportional to 383.78, 575.15 and 210.19

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Solution

The fourth proportional to 383.78, 575.15 and 210.19 is: 314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.78 : 575.15 = 210.19 : x
  2. Step 2: Convert to fraction form
    383.78/575.15 = 210.19/x
  3. Step 3: Cross multiply
    383.78x = 575.15 × 210.19
  4. Step 4: Simplify right side
    383.78x = 120,887.90
  5. Step 5: Solve for x
    x = 120,887.90/383.78
  6. Step 6: Final answer
    x = 314.99

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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.