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Finding the Fourth Proportional to 306.76, 461.95 and 258.43

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Solution

The fourth proportional to 306.76, 461.95 and 258.43 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.76 : 461.95 = 258.43 : x
  2. Step 2: Convert to fraction form
    306.76/461.95 = 258.43/x
  3. Step 3: Cross multiply
    306.76x = 461.95 × 258.43
  4. Step 4: Simplify right side
    306.76x = 119,381.74
  5. Step 5: Solve for x
    x = 119,381.74/306.76
  6. Step 6: Final answer
    x = 389.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.