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Finding the Fourth Proportional to 358.96, 495.22 and 242.84

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Solution

The fourth proportional to 358.96, 495.22 and 242.84 is: 335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.96 : 495.22 = 242.84 : x
  2. Step 2: Convert to fraction form
    358.96/495.22 = 242.84/x
  3. Step 3: Cross multiply
    358.96x = 495.22 × 242.84
  4. Step 4: Simplify right side
    358.96x = 120,259.22
  5. Step 5: Solve for x
    x = 120,259.22/358.96
  6. Step 6: Final answer
    x = 335.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.