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Finding the Fourth Proportional to 177.76, 266.16 and 156.16

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Solution

The fourth proportional to 177.76, 266.16 and 156.16 is: 233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.76 : 266.16 = 156.16 : x
  2. Step 2: Convert to fraction form
    177.76/266.16 = 156.16/x
  3. Step 3: Cross multiply
    177.76x = 266.16 × 156.16
  4. Step 4: Simplify right side
    177.76x = 41,563.55
  5. Step 5: Solve for x
    x = 41,563.55/177.76
  6. Step 6: Final answer
    x = 233.82

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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.