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Finding the Fourth Proportional to 319.19, 477.22 and 270.98

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Solution

The fourth proportional to 319.19, 477.22 and 270.98 is: 405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.19 : 477.22 = 270.98 : x
  2. Step 2: Convert to fraction form
    319.19/477.22 = 270.98/x
  3. Step 3: Cross multiply
    319.19x = 477.22 × 270.98
  4. Step 4: Simplify right side
    319.19x = 129,317.08
  5. Step 5: Solve for x
    x = 129,317.08/319.19
  6. Step 6: Final answer
    x = 405.14

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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.