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Finding the Fourth Proportional to 380.63, 525.26 and 212.58

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Solution

The fourth proportional to 380.63, 525.26 and 212.58 is: 293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.63 : 525.26 = 212.58 : x
  2. Step 2: Convert to fraction form
    380.63/525.26 = 212.58/x
  3. Step 3: Cross multiply
    380.63x = 525.26 × 212.58
  4. Step 4: Simplify right side
    380.63x = 111,659.77
  5. Step 5: Solve for x
    x = 111,659.77/380.63
  6. Step 6: Final answer
    x = 293.36

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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.