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Finding the Fourth Proportional to 306.54, 459.71 and 257.80

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Solution

The fourth proportional to 306.54, 459.71 and 257.80 is: 386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.54 : 459.71 = 257.80 : x
  2. Step 2: Convert to fraction form
    306.54/459.71 = 257.80/x
  3. Step 3: Cross multiply
    306.54x = 459.71 × 257.80
  4. Step 4: Simplify right side
    306.54x = 118,513.24
  5. Step 5: Solve for x
    x = 118,513.24/306.54
  6. Step 6: Final answer
    x = 386.62

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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.