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Finding the Fourth Proportional to 380.65, 525.24 and 214.85

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Solution

The fourth proportional to 380.65, 525.24 and 214.85 is: 296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.65 : 525.24 = 214.85 : x
  2. Step 2: Convert to fraction form
    380.65/525.24 = 214.85/x
  3. Step 3: Cross multiply
    380.65x = 525.24 × 214.85
  4. Step 4: Simplify right side
    380.65x = 112,849.13
  5. Step 5: Solve for x
    x = 112,849.13/380.65
  6. Step 6: Final answer
    x = 296.47

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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.