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Finding the Fourth Proportional to 434.50, 651.31 and 156.77

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Solution

The fourth proportional to 434.50, 651.31 and 156.77 is: 234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.50 : 651.31 = 156.77 : x
  2. Step 2: Convert to fraction form
    434.50/651.31 = 156.77/x
  3. Step 3: Cross multiply
    434.50x = 651.31 × 156.77
  4. Step 4: Simplify right side
    434.50x = 102,105.08
  5. Step 5: Solve for x
    x = 102,105.08/434.50
  6. Step 6: Final answer
    x = 234.99

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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.