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Finding the Fourth Proportional to 157.06, 234.50 and 130.06

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Solution

The fourth proportional to 157.06, 234.50 and 130.06 is: 194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.06 : 234.50 = 130.06 : x
  2. Step 2: Convert to fraction form
    157.06/234.50 = 130.06/x
  3. Step 3: Cross multiply
    157.06x = 234.50 × 130.06
  4. Step 4: Simplify right side
    157.06x = 30,499.07
  5. Step 5: Solve for x
    x = 30,499.07/157.06
  6. Step 6: Final answer
    x = 194.19

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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.