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Finding the Fourth Proportional to 177.85, 245.53 and 128.10

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Solution

The fourth proportional to 177.85, 245.53 and 128.10 is: 176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.85 : 245.53 = 128.10 : x
  2. Step 2: Convert to fraction form
    177.85/245.53 = 128.10/x
  3. Step 3: Cross multiply
    177.85x = 245.53 × 128.10
  4. Step 4: Simplify right side
    177.85x = 31,452.39
  5. Step 5: Solve for x
    x = 31,452.39/177.85
  6. Step 6: Final answer
    x = 176.85

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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.