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Finding the Fourth Proportional to 351.84, 484.86 and 312.20

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Solution

The fourth proportional to 351.84, 484.86 and 312.20 is: 430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 484.86 = 312.20 : x
  2. Step 2: Convert to fraction form
    351.84/484.86 = 312.20/x
  3. Step 3: Cross multiply
    351.84x = 484.86 × 312.20
  4. Step 4: Simplify right side
    351.84x = 151,375.71
  5. Step 5: Solve for x
    x = 151,375.71/351.84
  6. Step 6: Final answer
    x = 430.24

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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.