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Finding the Fourth Proportional to 405.60, 558 and 398.04

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Solution

The fourth proportional to 405.60, 558 and 398.04 is: 547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.60 : 558 = 398.04 : x
  2. Step 2: Convert to fraction form
    405.60/558 = 398.04/x
  3. Step 3: Cross multiply
    405.60x = 558 × 398.04
  4. Step 4: Simplify right side
    405.60x = 222,106.32
  5. Step 5: Solve for x
    x = 222,106.32/405.60
  6. Step 6: Final answer
    x = 547.60

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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.