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Finding the Fourth Proportional to 407.87, 611.39 and 202.58

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Solution

The fourth proportional to 407.87, 611.39 and 202.58 is: 303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.87 : 611.39 = 202.58 : x
  2. Step 2: Convert to fraction form
    407.87/611.39 = 202.58/x
  3. Step 3: Cross multiply
    407.87x = 611.39 × 202.58
  4. Step 4: Simplify right side
    407.87x = 123,854.37
  5. Step 5: Solve for x
    x = 123,854.37/407.87
  6. Step 6: Final answer
    x = 303.67

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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.