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Finding the Fourth Proportional to 302.54, 451.93 and 215.18

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Solution

The fourth proportional to 302.54, 451.93 and 215.18 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 451.93 = 215.18 : x
  2. Step 2: Convert to fraction form
    302.54/451.93 = 215.18/x
  3. Step 3: Cross multiply
    302.54x = 451.93 × 215.18
  4. Step 4: Simplify right side
    302.54x = 97,246.30
  5. Step 5: Solve for x
    x = 97,246.30/302.54
  6. Step 6: Final answer
    x = 321.43

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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.