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Finding the Fourth Proportional to 405.41, 558.70 and 347.09

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Solution

The fourth proportional to 405.41, 558.70 and 347.09 is: 478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.41 : 558.70 = 347.09 : x
  2. Step 2: Convert to fraction form
    405.41/558.70 = 347.09/x
  3. Step 3: Cross multiply
    405.41x = 558.70 × 347.09
  4. Step 4: Simplify right side
    405.41x = 193,915.52
  5. Step 5: Solve for x
    x = 193,915.52/405.41
  6. Step 6: Final answer
    x = 478.33

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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.