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Finding the Fourth Proportional to 206.24, 310.55 and 170.01

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Solution

The fourth proportional to 206.24, 310.55 and 170.01 is: 256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 310.55 = 170.01 : x
  2. Step 2: Convert to fraction form
    206.24/310.55 = 170.01/x
  3. Step 3: Cross multiply
    206.24x = 310.55 × 170.01
  4. Step 4: Simplify right side
    206.24x = 52,796.92
  5. Step 5: Solve for x
    x = 52,796.92/206.24
  6. Step 6: Final answer
    x = 256.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.