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Finding the Fourth Proportional to 157.14, 234.45 and 134.05

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Solution

The fourth proportional to 157.14, 234.45 and 134.05 is: 200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.14 : 234.45 = 134.05 : x
  2. Step 2: Convert to fraction form
    157.14/234.45 = 134.05/x
  3. Step 3: Cross multiply
    157.14x = 234.45 × 134.05
  4. Step 4: Simplify right side
    157.14x = 31,428.02
  5. Step 5: Solve for x
    x = 31,428.02/157.14
  6. Step 6: Final answer
    x = 200.00

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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.