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Finding the Fourth Proportional to 358.37, 536.75 and 286.28

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Solution

The fourth proportional to 358.37, 536.75 and 286.28 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.37 : 536.75 = 286.28 : x
  2. Step 2: Convert to fraction form
    358.37/536.75 = 286.28/x
  3. Step 3: Cross multiply
    358.37x = 536.75 × 286.28
  4. Step 4: Simplify right side
    358.37x = 153,659.36
  5. Step 5: Solve for x
    x = 153,659.36/358.37
  6. Step 6: Final answer
    x = 428.77

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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.