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Finding the Fourth Proportional to 358.02, 536.89 and 152.68

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Solution

The fourth proportional to 358.02, 536.89 and 152.68 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.02 : 536.89 = 152.68 : x
  2. Step 2: Convert to fraction form
    358.02/536.89 = 152.68/x
  3. Step 3: Cross multiply
    358.02x = 536.89 × 152.68
  4. Step 4: Simplify right side
    358.02x = 81,971.98
  5. Step 5: Solve for x
    x = 81,971.98/358.02
  6. Step 6: Final answer
    x = 228.96

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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.