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Finding the Fourth Proportional to 358.02, 492.75 and 303.21

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Solution

The fourth proportional to 358.02, 492.75 and 303.21 is: 417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.02 : 492.75 = 303.21 : x
  2. Step 2: Convert to fraction form
    358.02/492.75 = 303.21/x
  3. Step 3: Cross multiply
    358.02x = 492.75 × 303.21
  4. Step 4: Simplify right side
    358.02x = 149,406.73
  5. Step 5: Solve for x
    x = 149,406.73/358.02
  6. Step 6: Final answer
    x = 417.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.