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Finding the Fourth Proportional to 418.94, 578.03 and 307.07

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Solution

The fourth proportional to 418.94, 578.03 and 307.07 is: 423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.94 : 578.03 = 307.07 : x
  2. Step 2: Convert to fraction form
    418.94/578.03 = 307.07/x
  3. Step 3: Cross multiply
    418.94x = 578.03 × 307.07
  4. Step 4: Simplify right side
    418.94x = 177,491.25
  5. Step 5: Solve for x
    x = 177,491.25/418.94
  6. Step 6: Final answer
    x = 423.67

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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.