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Finding the Fourth Proportional to 242.68, 335 and 223.24

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Solution

The fourth proportional to 242.68, 335 and 223.24 is: 308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.68 : 335 = 223.24 : x
  2. Step 2: Convert to fraction form
    242.68/335 = 223.24/x
  3. Step 3: Cross multiply
    242.68x = 335 × 223.24
  4. Step 4: Simplify right side
    242.68x = 74,785.40
  5. Step 5: Solve for x
    x = 74,785.40/242.68
  6. Step 6: Final answer
    x = 308.16

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