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Finding the Fourth Proportional to 380.06, 524.53 and 214.31

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Solution

The fourth proportional to 380.06, 524.53 and 214.31 is: 295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 524.53 = 214.31 : x
  2. Step 2: Convert to fraction form
    380.06/524.53 = 214.31/x
  3. Step 3: Cross multiply
    380.06x = 524.53 × 214.31
  4. Step 4: Simplify right side
    380.06x = 112,412.02
  5. Step 5: Solve for x
    x = 112,412.02/380.06
  6. Step 6: Final answer
    x = 295.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.