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Finding the Fourth Proportional to 313.53, 467.93 and 287.39

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Solution

The fourth proportional to 313.53, 467.93 and 287.39 is: 428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.53 : 467.93 = 287.39 : x
  2. Step 2: Convert to fraction form
    313.53/467.93 = 287.39/x
  3. Step 3: Cross multiply
    313.53x = 467.93 × 287.39
  4. Step 4: Simplify right side
    313.53x = 134,475.38
  5. Step 5: Solve for x
    x = 134,475.38/313.53
  6. Step 6: Final answer
    x = 428.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.