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Finding the Fourth Proportional to 304.40, 419.82 and 242.14

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Solution

The fourth proportional to 304.40, 419.82 and 242.14 is: 333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.40 : 419.82 = 242.14 : x
  2. Step 2: Convert to fraction form
    304.40/419.82 = 242.14/x
  3. Step 3: Cross multiply
    304.40x = 419.82 × 242.14
  4. Step 4: Simplify right side
    304.40x = 101,655.21
  5. Step 5: Solve for x
    x = 101,655.21/304.40
  6. Step 6: Final answer
    x = 333.95

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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.