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Finding the Fourth Proportional to 353.84, 531.36 and 339.66

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Solution

The fourth proportional to 353.84, 531.36 and 339.66 is: 510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.84 : 531.36 = 339.66 : x
  2. Step 2: Convert to fraction form
    353.84/531.36 = 339.66/x
  3. Step 3: Cross multiply
    353.84x = 531.36 × 339.66
  4. Step 4: Simplify right side
    353.84x = 180,481.74
  5. Step 5: Solve for x
    x = 180,481.74/353.84
  6. Step 6: Final answer
    x = 510.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.