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Finding the Fourth Proportional to 275.54, 415.77 and 264.30

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Solution

The fourth proportional to 275.54, 415.77 and 264.30 is: 398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.54 : 415.77 = 264.30 : x
  2. Step 2: Convert to fraction form
    275.54/415.77 = 264.30/x
  3. Step 3: Cross multiply
    275.54x = 415.77 × 264.30
  4. Step 4: Simplify right side
    275.54x = 109,885.46
  5. Step 5: Solve for x
    x = 109,885.46/275.54
  6. Step 6: Final answer
    x = 398.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.