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Finding the Fourth Proportional to 176.78, 244.02 and 106.86

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Solution

The fourth proportional to 176.78, 244.02 and 106.86 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.78 : 244.02 = 106.86 : x
  2. Step 2: Convert to fraction form
    176.78/244.02 = 106.86/x
  3. Step 3: Cross multiply
    176.78x = 244.02 × 106.86
  4. Step 4: Simplify right side
    176.78x = 26,075.98
  5. Step 5: Solve for x
    x = 26,075.98/176.78
  6. Step 6: Final answer
    x = 147.51

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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.