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Finding the Fourth Proportional to 176.64, 263.76 and 155.04

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Solution

The fourth proportional to 176.64, 263.76 and 155.04 is: 231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 263.76 = 155.04 : x
  2. Step 2: Convert to fraction form
    176.64/263.76 = 155.04/x
  3. Step 3: Cross multiply
    176.64x = 263.76 × 155.04
  4. Step 4: Simplify right side
    176.64x = 40,893.35
  5. Step 5: Solve for x
    x = 40,893.35/176.64
  6. Step 6: Final answer
    x = 231.51

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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.