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Finding the Fourth Proportional to 460.25, 690.71 and 306.12

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Solution

The fourth proportional to 460.25, 690.71 and 306.12 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 690.71 = 306.12 : x
  2. Step 2: Convert to fraction form
    460.25/690.71 = 306.12/x
  3. Step 3: Cross multiply
    460.25x = 690.71 × 306.12
  4. Step 4: Simplify right side
    460.25x = 211,438.61
  5. Step 5: Solve for x
    x = 211,438.61/460.25
  6. Step 6: Final answer
    x = 459.40

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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.