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Finding the Fourth Proportional to 347.01, 520.16 and 164.25

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Solution

The fourth proportional to 347.01, 520.16 and 164.25 is: 246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.01 : 520.16 = 164.25 : x
  2. Step 2: Convert to fraction form
    347.01/520.16 = 164.25/x
  3. Step 3: Cross multiply
    347.01x = 520.16 × 164.25
  4. Step 4: Simplify right side
    347.01x = 85,435.46
  5. Step 5: Solve for x
    x = 85,435.46/347.01
  6. Step 6: Final answer
    x = 246.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.