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Finding the Fourth Proportional to 319.04, 477.78 and 188.66

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Solution

The fourth proportional to 319.04, 477.78 and 188.66 is: 282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.04 : 477.78 = 188.66 : x
  2. Step 2: Convert to fraction form
    319.04/477.78 = 188.66/x
  3. Step 3: Cross multiply
    319.04x = 477.78 × 188.66
  4. Step 4: Simplify right side
    319.04x = 90,135.59
  5. Step 5: Solve for x
    x = 90,135.59/319.04
  6. Step 6: Final answer
    x = 282.53

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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.