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Finding the Fourth Proportional to 157.50, 235.77 and 105.74

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Solution

The fourth proportional to 157.50, 235.77 and 105.74 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 235.77 = 105.74 : x
  2. Step 2: Convert to fraction form
    157.50/235.77 = 105.74/x
  3. Step 3: Cross multiply
    157.50x = 235.77 × 105.74
  4. Step 4: Simplify right side
    157.50x = 24,929.14
  5. Step 5: Solve for x
    x = 24,929.14/157.50
  6. Step 6: Final answer
    x = 158.28

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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.