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Finding the Fourth Proportional to 303.01, 456.62 and 274.21

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Solution

The fourth proportional to 303.01, 456.62 and 274.21 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.01 : 456.62 = 274.21 : x
  2. Step 2: Convert to fraction form
    303.01/456.62 = 274.21/x
  3. Step 3: Cross multiply
    303.01x = 456.62 × 274.21
  4. Step 4: Simplify right side
    303.01x = 125,209.08
  5. Step 5: Solve for x
    x = 125,209.08/303.01
  6. Step 6: Final answer
    x = 413.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.