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Finding the Fourth Proportional to 306.70, 457.69 and 252.70

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Solution

The fourth proportional to 306.70, 457.69 and 252.70 is: 377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.70 : 457.69 = 252.70 : x
  2. Step 2: Convert to fraction form
    306.70/457.69 = 252.70/x
  3. Step 3: Cross multiply
    306.70x = 457.69 × 252.70
  4. Step 4: Simplify right side
    306.70x = 115,657.00
  5. Step 5: Solve for x
    x = 115,657.00/306.70
  6. Step 6: Final answer
    x = 377.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.