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Finding the Fourth Proportional to 177.18, 264.35 and 157.69

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Solution

The fourth proportional to 177.18, 264.35 and 157.69 is: 235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.18 : 264.35 = 157.69 : x
  2. Step 2: Convert to fraction form
    177.18/264.35 = 157.69/x
  3. Step 3: Cross multiply
    177.18x = 264.35 × 157.69
  4. Step 4: Simplify right side
    177.18x = 41,685.35
  5. Step 5: Solve for x
    x = 41,685.35/177.18
  6. Step 6: Final answer
    x = 235.27

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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.