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Finding the Fourth Proportional to 389.95, 538.11 and 215.29

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Solution

The fourth proportional to 389.95, 538.11 and 215.29 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.95 : 538.11 = 215.29 : x
  2. Step 2: Convert to fraction form
    389.95/538.11 = 215.29/x
  3. Step 3: Cross multiply
    389.95x = 538.11 × 215.29
  4. Step 4: Simplify right side
    389.95x = 115,847.01
  5. Step 5: Solve for x
    x = 115,847.01/389.95
  6. Step 6: Final answer
    x = 297.09

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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.