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Finding the Fourth Proportional to 242.77, 364.20 and 127.26

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Solution

The fourth proportional to 242.77, 364.20 and 127.26 is: 190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.77 : 364.20 = 127.26 : x
  2. Step 2: Convert to fraction form
    242.77/364.20 = 127.26/x
  3. Step 3: Cross multiply
    242.77x = 364.20 × 127.26
  4. Step 4: Simplify right side
    242.77x = 46,347.46
  5. Step 5: Solve for x
    x = 46,347.46/242.77
  6. Step 6: Final answer
    x = 190.91

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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.