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Finding the Fourth Proportional to 319.93, 440.16 and 295.63

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Solution

The fourth proportional to 319.93, 440.16 and 295.63 is: 406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.93 : 440.16 = 295.63 : x
  2. Step 2: Convert to fraction form
    319.93/440.16 = 295.63/x
  3. Step 3: Cross multiply
    319.93x = 440.16 × 295.63
  4. Step 4: Simplify right side
    319.93x = 130,124.50
  5. Step 5: Solve for x
    x = 130,124.50/319.93
  6. Step 6: Final answer
    x = 406.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.