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Finding the Fourth Proportional to 319.48, 478.14 and 312.28

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Solution

The fourth proportional to 319.48, 478.14 and 312.28 is: 467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 478.14 = 312.28 : x
  2. Step 2: Convert to fraction form
    319.48/478.14 = 312.28/x
  3. Step 3: Cross multiply
    319.48x = 478.14 × 312.28
  4. Step 4: Simplify right side
    319.48x = 149,313.56
  5. Step 5: Solve for x
    x = 149,313.56/319.48
  6. Step 6: Final answer
    x = 467.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.