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Finding the Fourth Proportional to 242.85, 365.80 and 239.66

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Solution

The fourth proportional to 242.85, 365.80 and 239.66 is: 361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.85 : 365.80 = 239.66 : x
  2. Step 2: Convert to fraction form
    242.85/365.80 = 239.66/x
  3. Step 3: Cross multiply
    242.85x = 365.80 × 239.66
  4. Step 4: Simplify right side
    242.85x = 87,668.03
  5. Step 5: Solve for x
    x = 87,668.03/242.85
  6. Step 6: Final answer
    x = 361.00

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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.