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Finding the Fourth Proportional to 302.60, 454.21 and 211.48

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Solution

The fourth proportional to 302.60, 454.21 and 211.48 is: 317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.60 : 454.21 = 211.48 : x
  2. Step 2: Convert to fraction form
    302.60/454.21 = 211.48/x
  3. Step 3: Cross multiply
    302.60x = 454.21 × 211.48
  4. Step 4: Simplify right side
    302.60x = 96,054.67
  5. Step 5: Solve for x
    x = 96,054.67/302.60
  6. Step 6: Final answer
    x = 317.43

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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.