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Finding the Fourth Proportional to 302.78, 451.54 and 263.90

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Solution

The fourth proportional to 302.78, 451.54 and 263.90 is: 393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.78 : 451.54 = 263.90 : x
  2. Step 2: Convert to fraction form
    302.78/451.54 = 263.90/x
  3. Step 3: Cross multiply
    302.78x = 451.54 × 263.90
  4. Step 4: Simplify right side
    302.78x = 119,161.41
  5. Step 5: Solve for x
    x = 119,161.41/302.78
  6. Step 6: Final answer
    x = 393.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.