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Finding the Fourth Proportional to 157.23, 234.54 and 146.09

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Solution

The fourth proportional to 157.23, 234.54 and 146.09 is: 217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.23 : 234.54 = 146.09 : x
  2. Step 2: Convert to fraction form
    157.23/234.54 = 146.09/x
  3. Step 3: Cross multiply
    157.23x = 234.54 × 146.09
  4. Step 4: Simplify right side
    157.23x = 34,264.53
  5. Step 5: Solve for x
    x = 34,264.53/157.23
  6. Step 6: Final answer
    x = 217.93

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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.