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Finding the Fourth Proportional to 428.45, 642.47 and 211.77

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Solution

The fourth proportional to 428.45, 642.47 and 211.77 is: 317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.45 : 642.47 = 211.77 : x
  2. Step 2: Convert to fraction form
    428.45/642.47 = 211.77/x
  3. Step 3: Cross multiply
    428.45x = 642.47 × 211.77
  4. Step 4: Simplify right side
    428.45x = 136,054.81
  5. Step 5: Solve for x
    x = 136,054.81/428.45
  6. Step 6: Final answer
    x = 317.55

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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.