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Finding the Fourth Proportional to 418.44, 577.14 and 302.04

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Solution

The fourth proportional to 418.44, 577.14 and 302.04 is: 416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.44 : 577.14 = 302.04 : x
  2. Step 2: Convert to fraction form
    418.44/577.14 = 302.04/x
  3. Step 3: Cross multiply
    418.44x = 577.14 × 302.04
  4. Step 4: Simplify right side
    418.44x = 174,319.37
  5. Step 5: Solve for x
    x = 174,319.37/418.44
  6. Step 6: Final answer
    x = 416.59

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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.