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Finding the Fourth Proportional to 345.84, 521.13 and 286.29

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Solution

The fourth proportional to 345.84, 521.13 and 286.29 is: 431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.84 : 521.13 = 286.29 : x
  2. Step 2: Convert to fraction form
    345.84/521.13 = 286.29/x
  3. Step 3: Cross multiply
    345.84x = 521.13 × 286.29
  4. Step 4: Simplify right side
    345.84x = 149,194.31
  5. Step 5: Solve for x
    x = 149,194.31/345.84
  6. Step 6: Final answer
    x = 431.40

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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.