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Finding the Fourth Proportional to 380.06, 522.21 and 302.30

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Solution

The fourth proportional to 380.06, 522.21 and 302.30 is: 415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 522.21 = 302.30 : x
  2. Step 2: Convert to fraction form
    380.06/522.21 = 302.30/x
  3. Step 3: Cross multiply
    380.06x = 522.21 × 302.30
  4. Step 4: Simplify right side
    380.06x = 157,864.08
  5. Step 5: Solve for x
    x = 157,864.08/380.06
  6. Step 6: Final answer
    x = 415.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.