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Finding the Fourth Proportional to 434.34, 651.34 and 187.56

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Solution

The fourth proportional to 434.34, 651.34 and 187.56 is: 281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.34 : 651.34 = 187.56 : x
  2. Step 2: Convert to fraction form
    434.34/651.34 = 187.56/x
  3. Step 3: Cross multiply
    434.34x = 651.34 × 187.56
  4. Step 4: Simplify right side
    434.34x = 122,165.33
  5. Step 5: Solve for x
    x = 122,165.33/434.34
  6. Step 6: Final answer
    x = 281.27

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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.