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Finding the Fourth Proportional to 351.60, 484.08 and 319.20

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Solution

The fourth proportional to 351.60, 484.08 and 319.20 is: 439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.60 : 484.08 = 319.20 : x
  2. Step 2: Convert to fraction form
    351.60/484.08 = 319.20/x
  3. Step 3: Cross multiply
    351.60x = 484.08 × 319.20
  4. Step 4: Simplify right side
    351.60x = 154,518.34
  5. Step 5: Solve for x
    x = 154,518.34/351.60
  6. Step 6: Final answer
    x = 439.47

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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.