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Finding the Fourth Proportional to 347.90, 481.14 and 304.16

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Solution

The fourth proportional to 347.90, 481.14 and 304.16 is: 420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.90 : 481.14 = 304.16 : x
  2. Step 2: Convert to fraction form
    347.90/481.14 = 304.16/x
  3. Step 3: Cross multiply
    347.90x = 481.14 × 304.16
  4. Step 4: Simplify right side
    347.90x = 146,341.14
  5. Step 5: Solve for x
    x = 146,341.14/347.90
  6. Step 6: Final answer
    x = 420.65

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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.