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Finding the Fourth Proportional to 410.50, 566.52 and 272.74

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Solution

The fourth proportional to 410.50, 566.52 and 272.74 is: 376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 566.52 = 272.74 : x
  2. Step 2: Convert to fraction form
    410.50/566.52 = 272.74/x
  3. Step 3: Cross multiply
    410.50x = 566.52 × 272.74
  4. Step 4: Simplify right side
    410.50x = 154,512.66
  5. Step 5: Solve for x
    x = 154,512.66/410.50
  6. Step 6: Final answer
    x = 376.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.