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Finding the Fourth Proportional to 270.60, 373.72 and 257.64

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Solution

The fourth proportional to 270.60, 373.72 and 257.64 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.60 : 373.72 = 257.64 : x
  2. Step 2: Convert to fraction form
    270.60/373.72 = 257.64/x
  3. Step 3: Cross multiply
    270.60x = 373.72 × 257.64
  4. Step 4: Simplify right side
    270.60x = 96,285.22
  5. Step 5: Solve for x
    x = 96,285.22/270.60
  6. Step 6: Final answer
    x = 355.82

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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.