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Finding the Fourth Proportional to 200.95, 277.35 and 127.35

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Solution

The fourth proportional to 200.95, 277.35 and 127.35 is: 175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.95 : 277.35 = 127.35 : x
  2. Step 2: Convert to fraction form
    200.95/277.35 = 127.35/x
  3. Step 3: Cross multiply
    200.95x = 277.35 × 127.35
  4. Step 4: Simplify right side
    200.95x = 35,320.04
  5. Step 5: Solve for x
    x = 35,320.04/200.95
  6. Step 6: Final answer
    x = 175.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.