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Finding the Fourth Proportional to 405.54, 558.70 and 335.21

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Solution

The fourth proportional to 405.54, 558.70 and 335.21 is: 461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.54 : 558.70 = 335.21 : x
  2. Step 2: Convert to fraction form
    405.54/558.70 = 335.21/x
  3. Step 3: Cross multiply
    405.54x = 558.70 × 335.21
  4. Step 4: Simplify right side
    405.54x = 187,278.20
  5. Step 5: Solve for x
    x = 187,278.20/405.54
  6. Step 6: Final answer
    x = 461.80

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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.