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Finding the Fourth Proportional to 405.19, 558.45 and 352.14

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Solution

The fourth proportional to 405.19, 558.45 and 352.14 is: 485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.19 : 558.45 = 352.14 : x
  2. Step 2: Convert to fraction form
    405.19/558.45 = 352.14/x
  3. Step 3: Cross multiply
    405.19x = 558.45 × 352.14
  4. Step 4: Simplify right side
    405.19x = 196,654.60
  5. Step 5: Solve for x
    x = 196,654.60/405.19
  6. Step 6: Final answer
    x = 485.34

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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.