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Finding the Fourth Proportional to 418.15, 628.42 and 302.76

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Solution

The fourth proportional to 418.15, 628.42 and 302.76 is: 455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.15 : 628.42 = 302.76 : x
  2. Step 2: Convert to fraction form
    418.15/628.42 = 302.76/x
  3. Step 3: Cross multiply
    418.15x = 628.42 × 302.76
  4. Step 4: Simplify right side
    418.15x = 190,262.44
  5. Step 5: Solve for x
    x = 190,262.44/418.15
  6. Step 6: Final answer
    x = 455.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.