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Finding the Fourth Proportional to 358.13, 537.64 and 309.68

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Solution

The fourth proportional to 358.13, 537.64 and 309.68 is: 464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 537.64 = 309.68 : x
  2. Step 2: Convert to fraction form
    358.13/537.64 = 309.68/x
  3. Step 3: Cross multiply
    358.13x = 537.64 × 309.68
  4. Step 4: Simplify right side
    358.13x = 166,496.36
  5. Step 5: Solve for x
    x = 166,496.36/358.13
  6. Step 6: Final answer
    x = 464.90

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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.