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Finding the Fourth Proportional to 270.54, 407.23 and 202.91

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Solution

The fourth proportional to 270.54, 407.23 and 202.91 is: 305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.54 : 407.23 = 202.91 : x
  2. Step 2: Convert to fraction form
    270.54/407.23 = 202.91/x
  3. Step 3: Cross multiply
    270.54x = 407.23 × 202.91
  4. Step 4: Simplify right side
    270.54x = 82,628.50
  5. Step 5: Solve for x
    x = 82,628.50/270.54
  6. Step 6: Final answer
    x = 305.42

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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.