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Finding the Fourth Proportional to 177, 242.63 and 176.67

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Solution

The fourth proportional to 177, 242.63 and 176.67 is: 242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177 : 242.63 = 176.67 : x
  2. Step 2: Convert to fraction form
    177/242.63 = 176.67/x
  3. Step 3: Cross multiply
    177x = 242.63 × 176.67
  4. Step 4: Simplify right side
    177x = 42,864.56
  5. Step 5: Solve for x
    x = 42,864.56/177
  6. Step 6: Final answer
    x = 242.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.