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Finding the Fourth Proportional to 275.78, 414.38 and 258.01

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Solution

The fourth proportional to 275.78, 414.38 and 258.01 is: 387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.78 : 414.38 = 258.01 : x
  2. Step 2: Convert to fraction form
    275.78/414.38 = 258.01/x
  3. Step 3: Cross multiply
    275.78x = 414.38 × 258.01
  4. Step 4: Simplify right side
    275.78x = 106,913.79
  5. Step 5: Solve for x
    x = 106,913.79/275.78
  6. Step 6: Final answer
    x = 387.67

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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.