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Finding the Fourth Proportional to 245.65, 368.75 and 123.88

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Solution

The fourth proportional to 245.65, 368.75 and 123.88 is: 185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.65 : 368.75 = 123.88 : x
  2. Step 2: Convert to fraction form
    245.65/368.75 = 123.88/x
  3. Step 3: Cross multiply
    245.65x = 368.75 × 123.88
  4. Step 4: Simplify right side
    245.65x = 45,680.75
  5. Step 5: Solve for x
    x = 45,680.75/245.65
  6. Step 6: Final answer
    x = 185.96

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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.