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Finding the Fourth Proportional to 353.26, 527.20 and 345.07

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Solution

The fourth proportional to 353.26, 527.20 and 345.07 is: 514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.26 : 527.20 = 345.07 : x
  2. Step 2: Convert to fraction form
    353.26/527.20 = 345.07/x
  3. Step 3: Cross multiply
    353.26x = 527.20 × 345.07
  4. Step 4: Simplify right side
    353.26x = 181,920.90
  5. Step 5: Solve for x
    x = 181,920.90/353.26
  6. Step 6: Final answer
    x = 514.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.