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Finding the Fourth Proportional to 177.83, 244.64 and 148.13

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Solution

The fourth proportional to 177.83, 244.64 and 148.13 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.83 : 244.64 = 148.13 : x
  2. Step 2: Convert to fraction form
    177.83/244.64 = 148.13/x
  3. Step 3: Cross multiply
    177.83x = 244.64 × 148.13
  4. Step 4: Simplify right side
    177.83x = 36,237.78
  5. Step 5: Solve for x
    x = 36,237.78/177.83
  6. Step 6: Final answer
    x = 203.78

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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.