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Finding the Fourth Proportional to 405.48, 605.60 and 366.88

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Solution

The fourth proportional to 405.48, 605.60 and 366.88 is: 547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.48 : 605.60 = 366.88 : x
  2. Step 2: Convert to fraction form
    405.48/605.60 = 366.88/x
  3. Step 3: Cross multiply
    405.48x = 605.60 × 366.88
  4. Step 4: Simplify right side
    405.48x = 222,182.53
  5. Step 5: Solve for x
    x = 222,182.53/405.48
  6. Step 6: Final answer
    x = 547.95

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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.