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Finding the Fourth Proportional to 176.98, 265.48 and 55.26

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Solution

The fourth proportional to 176.98, 265.48 and 55.26 is: 82.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.98 : 265.48 = 55.26 : x
  2. Step 2: Convert to fraction form
    176.98/265.48 = 55.26/x
  3. Step 3: Cross multiply
    176.98x = 265.48 × 55.26
  4. Step 4: Simplify right side
    176.98x = 14,668.82
  5. Step 5: Solve for x
    x = 14,668.82/176.98
  6. Step 6: Final answer
    x = 82.89

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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.