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Finding the Fourth Proportional to 305.58, 458.58 and 206.66

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Solution

The fourth proportional to 305.58, 458.58 and 206.66 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.58 : 458.58 = 206.66 : x
  2. Step 2: Convert to fraction form
    305.58/458.58 = 206.66/x
  3. Step 3: Cross multiply
    305.58x = 458.58 × 206.66
  4. Step 4: Simplify right side
    305.58x = 94,770.14
  5. Step 5: Solve for x
    x = 94,770.14/305.58
  6. Step 6: Final answer
    x = 310.13

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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.