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Finding the Fourth Proportional to 319.84, 437.46 and 314.80

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Solution

The fourth proportional to 319.84, 437.46 and 314.80 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.84 : 437.46 = 314.80 : x
  2. Step 2: Convert to fraction form
    319.84/437.46 = 314.80/x
  3. Step 3: Cross multiply
    319.84x = 437.46 × 314.80
  4. Step 4: Simplify right side
    319.84x = 137,712.41
  5. Step 5: Solve for x
    x = 137,712.41/319.84
  6. Step 6: Final answer
    x = 430.57

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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.