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Finding the Fourth Proportional to 270.64, 373.47 and 177.54

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Solution

The fourth proportional to 270.64, 373.47 and 177.54 is: 245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.64 : 373.47 = 177.54 : x
  2. Step 2: Convert to fraction form
    270.64/373.47 = 177.54/x
  3. Step 3: Cross multiply
    270.64x = 373.47 × 177.54
  4. Step 4: Simplify right side
    270.64x = 66,305.86
  5. Step 5: Solve for x
    x = 66,305.86/270.64
  6. Step 6: Final answer
    x = 245.00

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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.