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Finding the Fourth Proportional to 255.11, 384.30 and 242.37

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Solution

The fourth proportional to 255.11, 384.30 and 242.37 is: 365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.11 : 384.30 = 242.37 : x
  2. Step 2: Convert to fraction form
    255.11/384.30 = 242.37/x
  3. Step 3: Cross multiply
    255.11x = 384.30 × 242.37
  4. Step 4: Simplify right side
    255.11x = 93,142.79
  5. Step 5: Solve for x
    x = 93,142.79/255.11
  6. Step 6: Final answer
    x = 365.12

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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.