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Finding the Fourth Proportional to 302.93, 455.94 and 226.30

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Solution

The fourth proportional to 302.93, 455.94 and 226.30 is: 340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.93 : 455.94 = 226.30 : x
  2. Step 2: Convert to fraction form
    302.93/455.94 = 226.30/x
  3. Step 3: Cross multiply
    302.93x = 455.94 × 226.30
  4. Step 4: Simplify right side
    302.93x = 103,180.30
  5. Step 5: Solve for x
    x = 103,180.30/302.93
  6. Step 6: Final answer
    x = 340.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.