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Finding the Fourth Proportional to 418.88, 626.05 and 386.06

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Solution

The fourth proportional to 418.88, 626.05 and 386.06 is: 576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.88 : 626.05 = 386.06 : x
  2. Step 2: Convert to fraction form
    418.88/626.05 = 386.06/x
  3. Step 3: Cross multiply
    418.88x = 626.05 × 386.06
  4. Step 4: Simplify right side
    418.88x = 241,690.22
  5. Step 5: Solve for x
    x = 241,690.22/418.88
  6. Step 6: Final answer
    x = 576.99

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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.