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Finding the Fourth Proportional to 319.04, 437.93 and 294.42

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Solution

The fourth proportional to 319.04, 437.93 and 294.42 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.04 : 437.93 = 294.42 : x
  2. Step 2: Convert to fraction form
    319.04/437.93 = 294.42/x
  3. Step 3: Cross multiply
    319.04x = 437.93 × 294.42
  4. Step 4: Simplify right side
    319.04x = 128,936.09
  5. Step 5: Solve for x
    x = 128,936.09/319.04
  6. Step 6: Final answer
    x = 404.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.