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Finding the Fourth Proportional to 351.32, 483.72 and 288.95

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Solution

The fourth proportional to 351.32, 483.72 and 288.95 is: 397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.32 : 483.72 = 288.95 : x
  2. Step 2: Convert to fraction form
    351.32/483.72 = 288.95/x
  3. Step 3: Cross multiply
    351.32x = 483.72 × 288.95
  4. Step 4: Simplify right side
    351.32x = 139,770.89
  5. Step 5: Solve for x
    x = 139,770.89/351.32
  6. Step 6: Final answer
    x = 397.84

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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.