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Finding the Fourth Proportional to 157.78, 235.67 and 123.58

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Solution

The fourth proportional to 157.78, 235.67 and 123.58 is: 184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 235.67 = 123.58 : x
  2. Step 2: Convert to fraction form
    157.78/235.67 = 123.58/x
  3. Step 3: Cross multiply
    157.78x = 235.67 × 123.58
  4. Step 4: Simplify right side
    157.78x = 29,124.10
  5. Step 5: Solve for x
    x = 29,124.10/157.78
  6. Step 6: Final answer
    x = 184.59

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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.