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Finding the Fourth Proportional to 405.61, 605.25 and 361.98

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Solution

The fourth proportional to 405.61, 605.25 and 361.98 is: 540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.61 : 605.25 = 361.98 : x
  2. Step 2: Convert to fraction form
    405.61/605.25 = 361.98/x
  3. Step 3: Cross multiply
    405.61x = 605.25 × 361.98
  4. Step 4: Simplify right side
    405.61x = 219,088.40
  5. Step 5: Solve for x
    x = 219,088.40/405.61
  6. Step 6: Final answer
    x = 540.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.