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Finding the Fourth Proportional to 460.56, 691.16 and 204.08

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Solution

The fourth proportional to 460.56, 691.16 and 204.08 is: 306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.56 : 691.16 = 204.08 : x
  2. Step 2: Convert to fraction form
    460.56/691.16 = 204.08/x
  3. Step 3: Cross multiply
    460.56x = 691.16 × 204.08
  4. Step 4: Simplify right side
    460.56x = 141,051.93
  5. Step 5: Solve for x
    x = 141,051.93/460.56
  6. Step 6: Final answer
    x = 306.26

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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.