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Finding the Fourth Proportional to 306.51, 461.84 and 253.59

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Solution

The fourth proportional to 306.51, 461.84 and 253.59 is: 382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.51 : 461.84 = 253.59 : x
  2. Step 2: Convert to fraction form
    306.51/461.84 = 253.59/x
  3. Step 3: Cross multiply
    306.51x = 461.84 × 253.59
  4. Step 4: Simplify right side
    306.51x = 117,118.64
  5. Step 5: Solve for x
    x = 117,118.64/306.51
  6. Step 6: Final answer
    x = 382.10

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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.