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Finding the Fourth Proportional to 176.90, 263.83 and 159.62

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Solution

The fourth proportional to 176.90, 263.83 and 159.62 is: 238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.90 : 263.83 = 159.62 : x
  2. Step 2: Convert to fraction form
    176.90/263.83 = 159.62/x
  3. Step 3: Cross multiply
    176.90x = 263.83 × 159.62
  4. Step 4: Simplify right side
    176.90x = 42,111.75
  5. Step 5: Solve for x
    x = 42,111.75/176.90
  6. Step 6: Final answer
    x = 238.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.