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Finding the Fourth Proportional to 380.47, 525.08 and 214.63

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Solution

The fourth proportional to 380.47, 525.08 and 214.63 is: 296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.47 : 525.08 = 214.63 : x
  2. Step 2: Convert to fraction form
    380.47/525.08 = 214.63/x
  3. Step 3: Cross multiply
    380.47x = 525.08 × 214.63
  4. Step 4: Simplify right side
    380.47x = 112,694.49
  5. Step 5: Solve for x
    x = 112,694.49/380.47
  6. Step 6: Final answer
    x = 296.20

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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.