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Finding the Fourth Proportional to 303.47, 416.05 and 298.00

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Solution

The fourth proportional to 303.47, 416.05 and 298.00 is: 408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.47 : 416.05 = 298.00 : x
  2. Step 2: Convert to fraction form
    303.47/416.05 = 298.00/x
  3. Step 3: Cross multiply
    303.47x = 416.05 × 298.00
  4. Step 4: Simplify right side
    303.47x = 123,981.11
  5. Step 5: Solve for x
    x = 123,981.11/303.47
  6. Step 6: Final answer
    x = 408.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.