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Finding the Fourth Proportional to 157.50, 237.69 and 156.56

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Solution

The fourth proportional to 157.50, 237.69 and 156.56 is: 236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 237.69 = 156.56 : x
  2. Step 2: Convert to fraction form
    157.50/237.69 = 156.56/x
  3. Step 3: Cross multiply
    157.50x = 237.69 × 156.56
  4. Step 4: Simplify right side
    157.50x = 37,211.56
  5. Step 5: Solve for x
    x = 37,211.56/157.50
  6. Step 6: Final answer
    x = 236.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.