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Finding the Fourth Proportional to 312.95, 433.94 and 296.55

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Solution

The fourth proportional to 312.95, 433.94 and 296.55 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.95 : 433.94 = 296.55 : x
  2. Step 2: Convert to fraction form
    312.95/433.94 = 296.55/x
  3. Step 3: Cross multiply
    312.95x = 433.94 × 296.55
  4. Step 4: Simplify right side
    312.95x = 128,683.42
  5. Step 5: Solve for x
    x = 128,683.42/312.95
  6. Step 6: Final answer
    x = 411.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.