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Finding the Fourth Proportional to 460.90, 690.47 and 306.36

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Solution

The fourth proportional to 460.90, 690.47 and 306.36 is: 458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.90 : 690.47 = 306.36 : x
  2. Step 2: Convert to fraction form
    460.90/690.47 = 306.36/x
  3. Step 3: Cross multiply
    460.90x = 690.47 × 306.36
  4. Step 4: Simplify right side
    460.90x = 211,530.86
  5. Step 5: Solve for x
    x = 211,530.86/460.90
  6. Step 6: Final answer
    x = 458.95

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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.