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Finding the Fourth Proportional to 242.00, 360.96 and 220.13

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Solution

The fourth proportional to 242.00, 360.96 and 220.13 is: 328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.00 : 360.96 = 220.13 : x
  2. Step 2: Convert to fraction form
    242.00/360.96 = 220.13/x
  3. Step 3: Cross multiply
    242.00x = 360.96 × 220.13
  4. Step 4: Simplify right side
    242.00x = 79,456.32
  5. Step 5: Solve for x
    x = 79,456.32/242.00
  6. Step 6: Final answer
    x = 328.34

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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.