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Finding the Fourth Proportional to 303.15, 418.11 and 256.65

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Solution

The fourth proportional to 303.15, 418.11 and 256.65 is: 353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.15 : 418.11 = 256.65 : x
  2. Step 2: Convert to fraction form
    303.15/418.11 = 256.65/x
  3. Step 3: Cross multiply
    303.15x = 418.11 × 256.65
  4. Step 4: Simplify right side
    303.15x = 107,307.93
  5. Step 5: Solve for x
    x = 107,307.93/303.15
  6. Step 6: Final answer
    x = 353.98

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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.