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Finding the Fourth Proportional to 304.54, 419.50 and 242.57

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Solution

The fourth proportional to 304.54, 419.50 and 242.57 is: 334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.54 : 419.50 = 242.57 : x
  2. Step 2: Convert to fraction form
    304.54/419.50 = 242.57/x
  3. Step 3: Cross multiply
    304.54x = 419.50 × 242.57
  4. Step 4: Simplify right side
    304.54x = 101,758.12
  5. Step 5: Solve for x
    x = 101,758.12/304.54
  6. Step 6: Final answer
    x = 334.14

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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.