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Finding the Fourth Proportional to 389.55, 537.60 and 214.89

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Solution

The fourth proportional to 389.55, 537.60 and 214.89 is: 296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.55 : 537.60 = 214.89 : x
  2. Step 2: Convert to fraction form
    389.55/537.60 = 214.89/x
  3. Step 3: Cross multiply
    389.55x = 537.60 × 214.89
  4. Step 4: Simplify right side
    389.55x = 115,524.86
  5. Step 5: Solve for x
    x = 115,524.86/389.55
  6. Step 6: Final answer
    x = 296.56

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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.