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Finding the Fourth Proportional to 503.30, 755.06 and 156.63

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Solution

The fourth proportional to 503.30, 755.06 and 156.63 is: 234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.30 : 755.06 = 156.63 : x
  2. Step 2: Convert to fraction form
    503.30/755.06 = 156.63/x
  3. Step 3: Cross multiply
    503.30x = 755.06 × 156.63
  4. Step 4: Simplify right side
    503.30x = 118,265.05
  5. Step 5: Solve for x
    x = 118,265.05/503.30
  6. Step 6: Final answer
    x = 234.98

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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.