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Finding the Fourth Proportional to 358.24, 538.44 and 286.96

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Solution

The fourth proportional to 358.24, 538.44 and 286.96 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.24 : 538.44 = 286.96 : x
  2. Step 2: Convert to fraction form
    358.24/538.44 = 286.96/x
  3. Step 3: Cross multiply
    358.24x = 538.44 × 286.96
  4. Step 4: Simplify right side
    358.24x = 154,510.74
  5. Step 5: Solve for x
    x = 154,510.74/358.24
  6. Step 6: Final answer
    x = 431.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.