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Finding the Fourth Proportional to 242, 360.99 and 238.04

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Solution

The fourth proportional to 242, 360.99 and 238.04 is: 355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242 : 360.99 = 238.04 : x
  2. Step 2: Convert to fraction form
    242/360.99 = 238.04/x
  3. Step 3: Cross multiply
    242x = 360.99 × 238.04
  4. Step 4: Simplify right side
    242x = 85,930.06
  5. Step 5: Solve for x
    x = 85,930.06/242
  6. Step 6: Final answer
    x = 355.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.