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Finding the Fourth Proportional to 242.50, 362.84 and 190.25

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Solution

The fourth proportional to 242.50, 362.84 and 190.25 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.50 : 362.84 = 190.25 : x
  2. Step 2: Convert to fraction form
    242.50/362.84 = 190.25/x
  3. Step 3: Cross multiply
    242.50x = 362.84 × 190.25
  4. Step 4: Simplify right side
    242.50x = 69,029.36
  5. Step 5: Solve for x
    x = 69,029.36/242.50
  6. Step 6: Final answer
    x = 284.66

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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.