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Finding the Fourth Proportional to 347.01, 478.65 and 214.26

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Solution

The fourth proportional to 347.01, 478.65 and 214.26 is: 295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.01 : 478.65 = 214.26 : x
  2. Step 2: Convert to fraction form
    347.01/478.65 = 214.26/x
  3. Step 3: Cross multiply
    347.01x = 478.65 × 214.26
  4. Step 4: Simplify right side
    347.01x = 102,555.55
  5. Step 5: Solve for x
    x = 102,555.55/347.01
  6. Step 6: Final answer
    x = 295.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.