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Finding the Fourth Proportional to 389.66, 537.74 and 215.02

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Solution

The fourth proportional to 389.66, 537.74 and 215.02 is: 296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.66 : 537.74 = 215.02 : x
  2. Step 2: Convert to fraction form
    389.66/537.74 = 215.02/x
  3. Step 3: Cross multiply
    389.66x = 537.74 × 215.02
  4. Step 4: Simplify right side
    389.66x = 115,624.85
  5. Step 5: Solve for x
    x = 115,624.85/389.66
  6. Step 6: Final answer
    x = 296.73

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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.