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Finding the Fourth Proportional to 289.21, 399.04 and 242.77

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Solution

The fourth proportional to 289.21, 399.04 and 242.77 is: 334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.21 : 399.04 = 242.77 : x
  2. Step 2: Convert to fraction form
    289.21/399.04 = 242.77/x
  3. Step 3: Cross multiply
    289.21x = 399.04 × 242.77
  4. Step 4: Simplify right side
    289.21x = 96,874.94
  5. Step 5: Solve for x
    x = 96,874.94/289.21
  6. Step 6: Final answer
    x = 334.96

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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.