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Finding the Fourth Proportional to 380.36, 524.93 and 214.57

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Solution

The fourth proportional to 380.36, 524.93 and 214.57 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.36 : 524.93 = 214.57 : x
  2. Step 2: Convert to fraction form
    380.36/524.93 = 214.57/x
  3. Step 3: Cross multiply
    380.36x = 524.93 × 214.57
  4. Step 4: Simplify right side
    380.36x = 112,634.23
  5. Step 5: Solve for x
    x = 112,634.23/380.36
  6. Step 6: Final answer
    x = 296.13

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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.