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Finding the Fourth Proportional to 351.84, 526.80 and 274.39

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Solution

The fourth proportional to 351.84, 526.80 and 274.39 is: 410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 526.80 = 274.39 : x
  2. Step 2: Convert to fraction form
    351.84/526.80 = 274.39/x
  3. Step 3: Cross multiply
    351.84x = 526.80 × 274.39
  4. Step 4: Simplify right side
    351.84x = 144,548.36
  5. Step 5: Solve for x
    x = 144,548.36/351.84
  6. Step 6: Final answer
    x = 410.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.