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Finding the Fourth Proportional to 445.95, 615.68 and 304.40

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Solution

The fourth proportional to 445.95, 615.68 and 304.40 is: 420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.95 : 615.68 = 304.40 : x
  2. Step 2: Convert to fraction form
    445.95/615.68 = 304.40/x
  3. Step 3: Cross multiply
    445.95x = 615.68 × 304.40
  4. Step 4: Simplify right side
    445.95x = 187,413.01
  5. Step 5: Solve for x
    x = 187,413.01/445.95
  6. Step 6: Final answer
    x = 420.26

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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.