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Finding the Fourth Proportional to 270.78, 407.54 and 202.67

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Solution

The fourth proportional to 270.78, 407.54 and 202.67 is: 305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.78 : 407.54 = 202.67 : x
  2. Step 2: Convert to fraction form
    270.78/407.54 = 202.67/x
  3. Step 3: Cross multiply
    270.78x = 407.54 × 202.67
  4. Step 4: Simplify right side
    270.78x = 82,593.08
  5. Step 5: Solve for x
    x = 82,593.08/270.78
  6. Step 6: Final answer
    x = 305.02

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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.