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Finding the Fourth Proportional to 657.84, 986.84 and 241.49

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Solution

The fourth proportional to 657.84, 986.84 and 241.49 is: 362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.84 : 986.84 = 241.49 : x
  2. Step 2: Convert to fraction form
    657.84/986.84 = 241.49/x
  3. Step 3: Cross multiply
    657.84x = 986.84 × 241.49
  4. Step 4: Simplify right side
    657.84x = 238,305.85
  5. Step 5: Solve for x
    x = 238,305.85/657.84
  6. Step 6: Final answer
    x = 362.26

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1.5x scale

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.