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Finding the Fourth Proportional to 421.44, 581.40 and 346.80

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Solution

The fourth proportional to 421.44, 581.40 and 346.80 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.44 : 581.40 = 346.80 : x
  2. Step 2: Convert to fraction form
    421.44/581.40 = 346.80/x
  3. Step 3: Cross multiply
    421.44x = 581.40 × 346.80
  4. Step 4: Simplify right side
    421.44x = 201,629.52
  5. Step 5: Solve for x
    x = 201,629.52/421.44
  6. Step 6: Final answer
    x = 478.43

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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.