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Finding the Fourth Proportional to 303.01, 456.54 and 274.15

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Solution

The fourth proportional to 303.01, 456.54 and 274.15 is: 413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.01 : 456.54 = 274.15 : x
  2. Step 2: Convert to fraction form
    303.01/456.54 = 274.15/x
  3. Step 3: Cross multiply
    303.01x = 456.54 × 274.15
  4. Step 4: Simplify right side
    303.01x = 125,159.98
  5. Step 5: Solve for x
    x = 125,159.98/303.01
  6. Step 6: Final answer
    x = 413.06

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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.