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Finding the Fourth Proportional to 176.06, 242.81 and 113.83

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Solution

The fourth proportional to 176.06, 242.81 and 113.83 is: 156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 242.81 = 113.83 : x
  2. Step 2: Convert to fraction form
    176.06/242.81 = 113.83/x
  3. Step 3: Cross multiply
    176.06x = 242.81 × 113.83
  4. Step 4: Simplify right side
    176.06x = 27,639.16
  5. Step 5: Solve for x
    x = 27,639.16/176.06
  6. Step 6: Final answer
    x = 156.99

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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.