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Finding the Fourth Proportional to 405.88, 607.98 and 189.22

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Solution

The fourth proportional to 405.88, 607.98 and 189.22 is: 283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.88 : 607.98 = 189.22 : x
  2. Step 2: Convert to fraction form
    405.88/607.98 = 189.22/x
  3. Step 3: Cross multiply
    405.88x = 607.98 × 189.22
  4. Step 4: Simplify right side
    405.88x = 115,041.98
  5. Step 5: Solve for x
    x = 115,041.98/405.88
  6. Step 6: Final answer
    x = 283.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.