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Finding the Fourth Proportional to 245.78, 365.88 and 243.04

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Solution

The fourth proportional to 245.78, 365.88 and 243.04 is: 361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.78 : 365.88 = 243.04 : x
  2. Step 2: Convert to fraction form
    245.78/365.88 = 243.04/x
  3. Step 3: Cross multiply
    245.78x = 365.88 × 243.04
  4. Step 4: Simplify right side
    245.78x = 88,923.48
  5. Step 5: Solve for x
    x = 88,923.48/245.78
  6. Step 6: Final answer
    x = 361.80

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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.