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Finding the Fourth Proportional to 344.38, 514.06 and 319.62

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Solution

The fourth proportional to 344.38, 514.06 and 319.62 is: 477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.38 : 514.06 = 319.62 : x
  2. Step 2: Convert to fraction form
    344.38/514.06 = 319.62/x
  3. Step 3: Cross multiply
    344.38x = 514.06 × 319.62
  4. Step 4: Simplify right side
    344.38x = 164,303.86
  5. Step 5: Solve for x
    x = 164,303.86/344.38
  6. Step 6: Final answer
    x = 477.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.