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Finding the Fourth Proportional to 383.01, 528.21 and 299.00

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Solution

The fourth proportional to 383.01, 528.21 and 299.00 is: 412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.01 : 528.21 = 299.00 : x
  2. Step 2: Convert to fraction form
    383.01/528.21 = 299.00/x
  3. Step 3: Cross multiply
    383.01x = 528.21 × 299.00
  4. Step 4: Simplify right side
    383.01x = 157,936.11
  5. Step 5: Solve for x
    x = 157,936.11/383.01
  6. Step 6: Final answer
    x = 412.36

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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.