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Finding the Fourth Proportional to 319.42, 440.77 and 179.51

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Solution

The fourth proportional to 319.42, 440.77 and 179.51 is: 247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.42 : 440.77 = 179.51 : x
  2. Step 2: Convert to fraction form
    319.42/440.77 = 179.51/x
  3. Step 3: Cross multiply
    319.42x = 440.77 × 179.51
  4. Step 4: Simplify right side
    319.42x = 79,121.73
  5. Step 5: Solve for x
    x = 79,121.73/319.42
  6. Step 6: Final answer
    x = 247.71

Related Problems

Find fourth proportional to 159.71, 220.38 and 89.76
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1.5x scale

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.