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Finding the Fourth Proportional to 245.19, 369.46 and 202.80

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Solution

The fourth proportional to 245.19, 369.46 and 202.80 is: 305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.19 : 369.46 = 202.80 : x
  2. Step 2: Convert to fraction form
    245.19/369.46 = 202.80/x
  3. Step 3: Cross multiply
    245.19x = 369.46 × 202.80
  4. Step 4: Simplify right side
    245.19x = 74,926.49
  5. Step 5: Solve for x
    x = 74,926.49/245.19
  6. Step 6: Final answer
    x = 305.59

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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.