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Finding the Fourth Proportional to 157.82, 235.24 and 156.46

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Solution

The fourth proportional to 157.82, 235.24 and 156.46 is: 233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.82 : 235.24 = 156.46 : x
  2. Step 2: Convert to fraction form
    157.82/235.24 = 156.46/x
  3. Step 3: Cross multiply
    157.82x = 235.24 × 156.46
  4. Step 4: Simplify right side
    157.82x = 36,805.65
  5. Step 5: Solve for x
    x = 36,805.65/157.82
  6. Step 6: Final answer
    x = 233.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.