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Finding the Fourth Proportional to 319.68, 477.36 and 313.92

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Solution

The fourth proportional to 319.68, 477.36 and 313.92 is: 468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 477.36 = 313.92 : x
  2. Step 2: Convert to fraction form
    319.68/477.36 = 313.92/x
  3. Step 3: Cross multiply
    319.68x = 477.36 × 313.92
  4. Step 4: Simplify right side
    319.68x = 149,852.85
  5. Step 5: Solve for x
    x = 149,852.85/319.68
  6. Step 6: Final answer
    x = 468.76

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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.