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Finding the Fourth Proportional to 176.07, 242.90 and 120.99

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Solution

The fourth proportional to 176.07, 242.90 and 120.99 is: 166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.07 : 242.90 = 120.99 : x
  2. Step 2: Convert to fraction form
    176.07/242.90 = 120.99/x
  3. Step 3: Cross multiply
    176.07x = 242.90 × 120.99
  4. Step 4: Simplify right side
    176.07x = 29,389.23
  5. Step 5: Solve for x
    x = 29,389.23/176.07
  6. Step 6: Final answer
    x = 166.91

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Why These Related Problems?

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