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Finding the Fourth Proportional to 389.81, 537.94 and 215.16

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Solution

The fourth proportional to 389.81, 537.94 and 215.16 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.81 : 537.94 = 215.16 : x
  2. Step 2: Convert to fraction form
    389.81/537.94 = 215.16/x
  3. Step 3: Cross multiply
    389.81x = 537.94 × 215.16
  4. Step 4: Simplify right side
    389.81x = 115,741.42
  5. Step 5: Solve for x
    x = 115,741.42/389.81
  6. Step 6: Final answer
    x = 296.92

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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.