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Finding the Fourth Proportional to 157.04, 234.60 and 111.02

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Solution

The fourth proportional to 157.04, 234.60 and 111.02 is: 165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.04 : 234.60 = 111.02 : x
  2. Step 2: Convert to fraction form
    157.04/234.60 = 111.02/x
  3. Step 3: Cross multiply
    157.04x = 234.60 × 111.02
  4. Step 4: Simplify right side
    157.04x = 26,045.02
  5. Step 5: Solve for x
    x = 26,045.02/157.04
  6. Step 6: Final answer
    x = 165.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.