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Finding the Fourth Proportional to 319.01, 437.84 and 283.23

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Solution

The fourth proportional to 319.01, 437.84 and 283.23 is: 388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.01 : 437.84 = 283.23 : x
  2. Step 2: Convert to fraction form
    319.01/437.84 = 283.23/x
  3. Step 3: Cross multiply
    319.01x = 437.84 × 283.23
  4. Step 4: Simplify right side
    319.01x = 124,009.07
  5. Step 5: Solve for x
    x = 124,009.07/319.01
  6. Step 6: Final answer
    x = 388.74

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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.