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Finding the Fourth Proportional to 157.62, 235.74 and 155.46

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Solution

The fourth proportional to 157.62, 235.74 and 155.46 is: 232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.62 : 235.74 = 155.46 : x
  2. Step 2: Convert to fraction form
    157.62/235.74 = 155.46/x
  3. Step 3: Cross multiply
    157.62x = 235.74 × 155.46
  4. Step 4: Simplify right side
    157.62x = 36,648.14
  5. Step 5: Solve for x
    x = 36,648.14/157.62
  6. Step 6: Final answer
    x = 232.51

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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.