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Finding the Fourth Proportional to 388.67, 536.36 and 214.01

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Solution

The fourth proportional to 388.67, 536.36 and 214.01 is: 295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.67 : 536.36 = 214.01 : x
  2. Step 2: Convert to fraction form
    388.67/536.36 = 214.01/x
  3. Step 3: Cross multiply
    388.67x = 536.36 × 214.01
  4. Step 4: Simplify right side
    388.67x = 114,786.40
  5. Step 5: Solve for x
    x = 114,786.40/388.67
  6. Step 6: Final answer
    x = 295.33

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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.