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Finding the Fourth Proportional to 289.80, 399.12 and 277.32

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Solution

The fourth proportional to 289.80, 399.12 and 277.32 is: 381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.80 : 399.12 = 277.32 : x
  2. Step 2: Convert to fraction form
    289.80/399.12 = 277.32/x
  3. Step 3: Cross multiply
    289.80x = 399.12 × 277.32
  4. Step 4: Simplify right side
    289.80x = 110,683.96
  5. Step 5: Solve for x
    x = 110,683.96/289.80
  6. Step 6: Final answer
    x = 381.93

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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.