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Finding the Fourth Proportional to 245.87, 370.50 and 203.49

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Solution

The fourth proportional to 245.87, 370.50 and 203.49 is: 306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.87 : 370.50 = 203.49 : x
  2. Step 2: Convert to fraction form
    245.87/370.50 = 203.49/x
  3. Step 3: Cross multiply
    245.87x = 370.50 × 203.49
  4. Step 4: Simplify right side
    245.87x = 75,393.72
  5. Step 5: Solve for x
    x = 75,393.72/245.87
  6. Step 6: Final answer
    x = 306.64

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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.