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Finding the Fourth Proportional to 176.95, 265.15 and 107.43

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Solution

The fourth proportional to 176.95, 265.15 and 107.43 is: 160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.95 : 265.15 = 107.43 : x
  2. Step 2: Convert to fraction form
    176.95/265.15 = 107.43/x
  3. Step 3: Cross multiply
    176.95x = 265.15 × 107.43
  4. Step 4: Simplify right side
    176.95x = 28,485.06
  5. Step 5: Solve for x
    x = 28,485.06/176.95
  6. Step 6: Final answer
    x = 160.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.