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Finding the Fourth Proportional to 410.25, 566.15 and 226.25

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Solution

The fourth proportional to 410.25, 566.15 and 226.25 is: 312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 566.15 = 226.25 : x
  2. Step 2: Convert to fraction form
    410.25/566.15 = 226.25/x
  3. Step 3: Cross multiply
    410.25x = 566.15 × 226.25
  4. Step 4: Simplify right side
    410.25x = 128,090.31
  5. Step 5: Solve for x
    x = 128,090.31/410.25
  6. Step 6: Final answer
    x = 312.23

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1.5x scale

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.