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Finding the Fourth Proportional to 312.65, 428.75 and 296.85

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Solution

The fourth proportional to 312.65, 428.75 and 296.85 is: 407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.65 : 428.75 = 296.85 : x
  2. Step 2: Convert to fraction form
    312.65/428.75 = 296.85/x
  3. Step 3: Cross multiply
    312.65x = 428.75 × 296.85
  4. Step 4: Simplify right side
    312.65x = 127,274.44
  5. Step 5: Solve for x
    x = 127,274.44/312.65
  6. Step 6: Final answer
    x = 407.08

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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.