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Finding the Fourth Proportional to 177.54, 245.37 and 155.94

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Solution

The fourth proportional to 177.54, 245.37 and 155.94 is: 215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.54 : 245.37 = 155.94 : x
  2. Step 2: Convert to fraction form
    177.54/245.37 = 155.94/x
  3. Step 3: Cross multiply
    177.54x = 245.37 × 155.94
  4. Step 4: Simplify right side
    177.54x = 38,263.00
  5. Step 5: Solve for x
    x = 38,263.00/177.54
  6. Step 6: Final answer
    x = 215.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.