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Finding the Fourth Proportional to 255.30, 353.93 and 242.13

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Solution

The fourth proportional to 255.30, 353.93 and 242.13 is: 335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.30 : 353.93 = 242.13 : x
  2. Step 2: Convert to fraction form
    255.30/353.93 = 242.13/x
  3. Step 3: Cross multiply
    255.30x = 353.93 × 242.13
  4. Step 4: Simplify right side
    255.30x = 85,695.86
  5. Step 5: Solve for x
    x = 85,695.86/255.30
  6. Step 6: Final answer
    x = 335.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.