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Finding the Fourth Proportional to 157.08, 235.30 and 75.68

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Solution

The fourth proportional to 157.08, 235.30 and 75.68 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.08 : 235.30 = 75.68 : x
  2. Step 2: Convert to fraction form
    157.08/235.30 = 75.68/x
  3. Step 3: Cross multiply
    157.08x = 235.30 × 75.68
  4. Step 4: Simplify right side
    157.08x = 17,807.50
  5. Step 5: Solve for x
    x = 17,807.50/157.08
  6. Step 6: Final answer
    x = 113.37

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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.