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Finding the Fourth Proportional to 302.76, 454.01 and 270.63

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Solution

The fourth proportional to 302.76, 454.01 and 270.63 is: 405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.76 : 454.01 = 270.63 : x
  2. Step 2: Convert to fraction form
    302.76/454.01 = 270.63/x
  3. Step 3: Cross multiply
    302.76x = 454.01 × 270.63
  4. Step 4: Simplify right side
    302.76x = 122,867.37
  5. Step 5: Solve for x
    x = 122,867.37/302.76
  6. Step 6: Final answer
    x = 405.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.