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Finding the Fourth Proportional to 347.22, 517.63 and 319.81

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Solution

The fourth proportional to 347.22, 517.63 and 319.81 is: 476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.22 : 517.63 = 319.81 : x
  2. Step 2: Convert to fraction form
    347.22/517.63 = 319.81/x
  3. Step 3: Cross multiply
    347.22x = 517.63 × 319.81
  4. Step 4: Simplify right side
    347.22x = 165,543.25
  5. Step 5: Solve for x
    x = 165,543.25/347.22
  6. Step 6: Final answer
    x = 476.77

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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.