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Finding the Fourth Proportional to 177.85, 245.17 and 146.71

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Solution

The fourth proportional to 177.85, 245.17 and 146.71 is: 202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.85 : 245.17 = 146.71 : x
  2. Step 2: Convert to fraction form
    177.85/245.17 = 146.71/x
  3. Step 3: Cross multiply
    177.85x = 245.17 × 146.71
  4. Step 4: Simplify right side
    177.85x = 35,968.89
  5. Step 5: Solve for x
    x = 35,968.89/177.85
  6. Step 6: Final answer
    x = 202.24

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