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Finding the Fourth Proportional to 319.24, 480.86 and 314.99

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Solution

The fourth proportional to 319.24, 480.86 and 314.99 is: 474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 480.86 = 314.99 : x
  2. Step 2: Convert to fraction form
    319.24/480.86 = 314.99/x
  3. Step 3: Cross multiply
    319.24x = 480.86 × 314.99
  4. Step 4: Simplify right side
    319.24x = 151,462.11
  5. Step 5: Solve for x
    x = 151,462.11/319.24
  6. Step 6: Final answer
    x = 474.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.