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Finding the Fourth Proportional to 358.05, 536.84 and 152.48

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Solution

The fourth proportional to 358.05, 536.84 and 152.48 is: 228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.05 : 536.84 = 152.48 : x
  2. Step 2: Convert to fraction form
    358.05/536.84 = 152.48/x
  3. Step 3: Cross multiply
    358.05x = 536.84 × 152.48
  4. Step 4: Simplify right side
    358.05x = 81,859.09
  5. Step 5: Solve for x
    x = 81,859.09/358.05
  6. Step 6: Final answer
    x = 228.62

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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.