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Finding the Fourth Proportional to 405.41, 608.16 and 131.49

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Solution

The fourth proportional to 405.41, 608.16 and 131.49 is: 197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.41 : 608.16 = 131.49 : x
  2. Step 2: Convert to fraction form
    405.41/608.16 = 131.49/x
  3. Step 3: Cross multiply
    405.41x = 608.16 × 131.49
  4. Step 4: Simplify right side
    405.41x = 79,966.96
  5. Step 5: Solve for x
    x = 79,966.96/405.41
  6. Step 6: Final answer
    x = 197.25

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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.