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Finding the Fourth Proportional to 389.41, 537.37 and 214.75

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Solution

The fourth proportional to 389.41, 537.37 and 214.75 is: 296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.41 : 537.37 = 214.75 : x
  2. Step 2: Convert to fraction form
    389.41/537.37 = 214.75/x
  3. Step 3: Cross multiply
    389.41x = 537.37 × 214.75
  4. Step 4: Simplify right side
    389.41x = 115,400.34
  5. Step 5: Solve for x
    x = 115,400.34/389.41
  6. Step 6: Final answer
    x = 296.35

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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.