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Finding the Fourth Proportional to 334.52, 501.28 and 211.20

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Solution

The fourth proportional to 334.52, 501.28 and 211.20 is: 316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.52 : 501.28 = 211.20 : x
  2. Step 2: Convert to fraction form
    334.52/501.28 = 211.20/x
  3. Step 3: Cross multiply
    334.52x = 501.28 × 211.20
  4. Step 4: Simplify right side
    334.52x = 105,870.34
  5. Step 5: Solve for x
    x = 105,870.34/334.52
  6. Step 6: Final answer
    x = 316.48

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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.