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Finding the Fourth Proportional to 345.26, 475.88 and 286.34

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Solution

The fourth proportional to 345.26, 475.88 and 286.34 is: 394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.26 : 475.88 = 286.34 : x
  2. Step 2: Convert to fraction form
    345.26/475.88 = 286.34/x
  3. Step 3: Cross multiply
    345.26x = 475.88 × 286.34
  4. Step 4: Simplify right side
    345.26x = 136,259.67
  5. Step 5: Solve for x
    x = 136,259.67/345.26
  6. Step 6: Final answer
    x = 394.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.