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Finding the Fourth Proportional to 380.34, 525.15 and 306.63

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Solution

The fourth proportional to 380.34, 525.15 and 306.63 is: 423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 525.15 = 306.63 : x
  2. Step 2: Convert to fraction form
    380.34/525.15 = 306.63/x
  3. Step 3: Cross multiply
    380.34x = 525.15 × 306.63
  4. Step 4: Simplify right side
    380.34x = 161,026.74
  5. Step 5: Solve for x
    x = 161,026.74/380.34
  6. Step 6: Final answer
    x = 423.38

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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.