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Finding the Fourth Proportional to 421.04, 580.40 and 338

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Solution

The fourth proportional to 421.04, 580.40 and 338 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.04 : 580.40 = 338 : x
  2. Step 2: Convert to fraction form
    421.04/580.40 = 338/x
  3. Step 3: Cross multiply
    421.04x = 580.40 × 338
  4. Step 4: Simplify right side
    421.04x = 196,175.20
  5. Step 5: Solve for x
    x = 196,175.20/421.04
  6. Step 6: Final answer
    x = 465.93

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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.