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Finding the Fourth Proportional to 177.10, 263.89 and 157.95

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Solution

The fourth proportional to 177.10, 263.89 and 157.95 is: 235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.10 : 263.89 = 157.95 : x
  2. Step 2: Convert to fraction form
    177.10/263.89 = 157.95/x
  3. Step 3: Cross multiply
    177.10x = 263.89 × 157.95
  4. Step 4: Simplify right side
    177.10x = 41,681.43
  5. Step 5: Solve for x
    x = 41,681.43/177.10
  6. Step 6: Final answer
    x = 235.36

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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.