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Finding the Fourth Proportional to 157.52, 236.36 and 85.36

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Solution

The fourth proportional to 157.52, 236.36 and 85.36 is: 128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.52 : 236.36 = 85.36 : x
  2. Step 2: Convert to fraction form
    157.52/236.36 = 85.36/x
  3. Step 3: Cross multiply
    157.52x = 236.36 × 85.36
  4. Step 4: Simplify right side
    157.52x = 20,175.69
  5. Step 5: Solve for x
    x = 20,175.69/157.52
  6. Step 6: Final answer
    x = 128.08

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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.