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Finding the Fourth Proportional to 176.01, 242.84 and 106.05

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Solution

The fourth proportional to 176.01, 242.84 and 106.05 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.01 : 242.84 = 106.05 : x
  2. Step 2: Convert to fraction form
    176.01/242.84 = 106.05/x
  3. Step 3: Cross multiply
    176.01x = 242.84 × 106.05
  4. Step 4: Simplify right side
    176.01x = 25,753.18
  5. Step 5: Solve for x
    x = 25,753.18/176.01
  6. Step 6: Final answer
    x = 146.32

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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.