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Finding the Fourth Proportional to 389.15, 537.03 and 214.50

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Solution

The fourth proportional to 389.15, 537.03 and 214.50 is: 296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.15 : 537.03 = 214.50 : x
  2. Step 2: Convert to fraction form
    389.15/537.03 = 214.50/x
  3. Step 3: Cross multiply
    389.15x = 537.03 × 214.50
  4. Step 4: Simplify right side
    389.15x = 115,192.94
  5. Step 5: Solve for x
    x = 115,192.94/389.15
  6. Step 6: Final answer
    x = 296.01

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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.