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Finding the Fourth Proportional to 405.63, 558.60 and 353.08

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Solution

The fourth proportional to 405.63, 558.60 and 353.08 is: 486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.63 : 558.60 = 353.08 : x
  2. Step 2: Convert to fraction form
    405.63/558.60 = 353.08/x
  3. Step 3: Cross multiply
    405.63x = 558.60 × 353.08
  4. Step 4: Simplify right side
    405.63x = 197,230.49
  5. Step 5: Solve for x
    x = 197,230.49/405.63
  6. Step 6: Final answer
    x = 486.24

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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.