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Finding the Fourth Proportional to 176.30, 242.96 and 127.09

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Solution

The fourth proportional to 176.30, 242.96 and 127.09 is: 175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.30 : 242.96 = 127.09 : x
  2. Step 2: Convert to fraction form
    176.30/242.96 = 127.09/x
  3. Step 3: Cross multiply
    176.30x = 242.96 × 127.09
  4. Step 4: Simplify right side
    176.30x = 30,877.79
  5. Step 5: Solve for x
    x = 30,877.79/176.30
  6. Step 6: Final answer
    x = 175.14

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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.