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Finding the Fourth Proportional to 176.87, 265.34 and 90.16

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Solution

The fourth proportional to 176.87, 265.34 and 90.16 is: 135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.87 : 265.34 = 90.16 : x
  2. Step 2: Convert to fraction form
    176.87/265.34 = 90.16/x
  3. Step 3: Cross multiply
    176.87x = 265.34 × 90.16
  4. Step 4: Simplify right side
    176.87x = 23,922.62
  5. Step 5: Solve for x
    x = 23,922.62/176.87
  6. Step 6: Final answer
    x = 135.25

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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.