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Finding the Fourth Proportional to 153.23, 230.87 and 123.50

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Solution

The fourth proportional to 153.23, 230.87 and 123.50 is: 186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.23 : 230.87 = 123.50 : x
  2. Step 2: Convert to fraction form
    153.23/230.87 = 123.50/x
  3. Step 3: Cross multiply
    153.23x = 230.87 × 123.50
  4. Step 4: Simplify right side
    153.23x = 28,510.67
  5. Step 5: Solve for x
    x = 28,510.67/153.23
  6. Step 6: Final answer
    x = 186.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.