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Finding the Fourth Proportional to 240.70, 361.05 and 183.64

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Solution

The fourth proportional to 240.70, 361.05 and 183.64 is: 275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.70 : 361.05 = 183.64 : x
  2. Step 2: Convert to fraction form
    240.70/361.05 = 183.64/x
  3. Step 3: Cross multiply
    240.70x = 361.05 × 183.64
  4. Step 4: Simplify right side
    240.70x = 66,303.22
  5. Step 5: Solve for x
    x = 66,303.22/240.70
  6. Step 6: Final answer
    x = 275.46

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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.