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Finding the Fourth Proportional to 410.50, 566.53 and 226.50

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Solution

The fourth proportional to 410.50, 566.53 and 226.50 is: 312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 566.53 = 226.50 : x
  2. Step 2: Convert to fraction form
    410.50/566.53 = 226.50/x
  3. Step 3: Cross multiply
    410.50x = 566.53 × 226.50
  4. Step 4: Simplify right side
    410.50x = 128,319.05
  5. Step 5: Solve for x
    x = 128,319.05/410.50
  6. Step 6: Final answer
    x = 312.59

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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.