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Finding the Fourth Proportional to 312.84, 467.04 and 278.24

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Solution

The fourth proportional to 312.84, 467.04 and 278.24 is: 415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 467.04 = 278.24 : x
  2. Step 2: Convert to fraction form
    312.84/467.04 = 278.24/x
  3. Step 3: Cross multiply
    312.84x = 467.04 × 278.24
  4. Step 4: Simplify right side
    312.84x = 129,952.45
  5. Step 5: Solve for x
    x = 129,952.45/312.84
  6. Step 6: Final answer
    x = 415.39

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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.