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Finding the Fourth Proportional to 358.35, 536.73 and 310.29

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Solution

The fourth proportional to 358.35, 536.73 and 310.29 is: 464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.35 : 536.73 = 310.29 : x
  2. Step 2: Convert to fraction form
    358.35/536.73 = 310.29/x
  3. Step 3: Cross multiply
    358.35x = 536.73 × 310.29
  4. Step 4: Simplify right side
    358.35x = 166,541.95
  5. Step 5: Solve for x
    x = 166,541.95/358.35
  6. Step 6: Final answer
    x = 464.75

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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.