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Finding the Fourth Proportional to 177.10, 264.37 and 155.50

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Solution

The fourth proportional to 177.10, 264.37 and 155.50 is: 232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.10 : 264.37 = 155.50 : x
  2. Step 2: Convert to fraction form
    177.10/264.37 = 155.50/x
  3. Step 3: Cross multiply
    177.10x = 264.37 × 155.50
  4. Step 4: Simplify right side
    177.10x = 41,109.54
  5. Step 5: Solve for x
    x = 41,109.54/177.10
  6. Step 6: Final answer
    x = 232.13

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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.