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Finding the Fourth Proportional to 389.99, 538.25 and 296.58

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Solution

The fourth proportional to 389.99, 538.25 and 296.58 is: 409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.99 : 538.25 = 296.58 : x
  2. Step 2: Convert to fraction form
    389.99/538.25 = 296.58/x
  3. Step 3: Cross multiply
    389.99x = 538.25 × 296.58
  4. Step 4: Simplify right side
    389.99x = 159,634.19
  5. Step 5: Solve for x
    x = 159,634.19/389.99
  6. Step 6: Final answer
    x = 409.33

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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.