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Finding the Fourth Proportional to 303.65, 418.06 and 256.90

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Solution

The fourth proportional to 303.65, 418.06 and 256.90 is: 353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.65 : 418.06 = 256.90 : x
  2. Step 2: Convert to fraction form
    303.65/418.06 = 256.90/x
  3. Step 3: Cross multiply
    303.65x = 418.06 × 256.90
  4. Step 4: Simplify right side
    303.65x = 107,399.61
  5. Step 5: Solve for x
    x = 107,399.61/303.65
  6. Step 6: Final answer
    x = 353.70

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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.