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Finding the Fourth Proportional to 454.13, 680.71 and 210.45

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Solution

The fourth proportional to 454.13, 680.71 and 210.45 is: 315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.13 : 680.71 = 210.45 : x
  2. Step 2: Convert to fraction form
    454.13/680.71 = 210.45/x
  3. Step 3: Cross multiply
    454.13x = 680.71 × 210.45
  4. Step 4: Simplify right side
    454.13x = 143,255.42
  5. Step 5: Solve for x
    x = 143,255.42/454.13
  6. Step 6: Final answer
    x = 315.45

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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.