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Finding the Fourth Proportional to 289.34, 431.26 and 277.28

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Solution

The fourth proportional to 289.34, 431.26 and 277.28 is: 413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.34 : 431.26 = 277.28 : x
  2. Step 2: Convert to fraction form
    289.34/431.26 = 277.28/x
  3. Step 3: Cross multiply
    289.34x = 431.26 × 277.28
  4. Step 4: Simplify right side
    289.34x = 119,579.77
  5. Step 5: Solve for x
    x = 119,579.77/289.34
  6. Step 6: Final answer
    x = 413.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.