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Finding the Fourth Proportional to 383.99, 529.89 and 218.23

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Solution

The fourth proportional to 383.99, 529.89 and 218.23 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.99 : 529.89 = 218.23 : x
  2. Step 2: Convert to fraction form
    383.99/529.89 = 218.23/x
  3. Step 3: Cross multiply
    383.99x = 529.89 × 218.23
  4. Step 4: Simplify right side
    383.99x = 115,637.89
  5. Step 5: Solve for x
    x = 115,637.89/383.99
  6. Step 6: Final answer
    x = 301.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.