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Finding the Fourth Proportional to 349.96, 483.12 and 202.56

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Solution

The fourth proportional to 349.96, 483.12 and 202.56 is: 279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.96 : 483.12 = 202.56 : x
  2. Step 2: Convert to fraction form
    349.96/483.12 = 202.56/x
  3. Step 3: Cross multiply
    349.96x = 483.12 × 202.56
  4. Step 4: Simplify right side
    349.96x = 97,859.77
  5. Step 5: Solve for x
    x = 97,859.77/349.96
  6. Step 6: Final answer
    x = 279.64

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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.