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Finding the Fourth Proportional to 176.34, 263.28 and 156.90

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Solution

The fourth proportional to 176.34, 263.28 and 156.90 is: 234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.34 : 263.28 = 156.90 : x
  2. Step 2: Convert to fraction form
    176.34/263.28 = 156.90/x
  3. Step 3: Cross multiply
    176.34x = 263.28 × 156.90
  4. Step 4: Simplify right side
    176.34x = 41,308.63
  5. Step 5: Solve for x
    x = 41,308.63/176.34
  6. Step 6: Final answer
    x = 234.26

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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.