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Finding the Fourth Proportional to 351.67, 529.89 and 292.13

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Solution

The fourth proportional to 351.67, 529.89 and 292.13 is: 440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.67 : 529.89 = 292.13 : x
  2. Step 2: Convert to fraction form
    351.67/529.89 = 292.13/x
  3. Step 3: Cross multiply
    351.67x = 529.89 × 292.13
  4. Step 4: Simplify right side
    351.67x = 154,798.09
  5. Step 5: Solve for x
    x = 154,798.09/351.67
  6. Step 6: Final answer
    x = 440.18

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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.