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Finding the Fourth Proportional to 301.01, 448.82 and 295.55

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Solution

The fourth proportional to 301.01, 448.82 and 295.55 is: 440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.01 : 448.82 = 295.55 : x
  2. Step 2: Convert to fraction form
    301.01/448.82 = 295.55/x
  3. Step 3: Cross multiply
    301.01x = 448.82 × 295.55
  4. Step 4: Simplify right side
    301.01x = 132,647.25
  5. Step 5: Solve for x
    x = 132,647.25/301.01
  6. Step 6: Final answer
    x = 440.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.