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Finding the Fourth Proportional to 156.89, 234.95 and 75.53

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Solution

The fourth proportional to 156.89, 234.95 and 75.53 is: 113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.89 : 234.95 = 75.53 : x
  2. Step 2: Convert to fraction form
    156.89/234.95 = 75.53/x
  3. Step 3: Cross multiply
    156.89x = 234.95 × 75.53
  4. Step 4: Simplify right side
    156.89x = 17,745.77
  5. Step 5: Solve for x
    x = 17,745.77/156.89
  6. Step 6: Final answer
    x = 113.11

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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.