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Finding the Fourth Proportional to 354.86, 529.39 and 345.80

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Solution

The fourth proportional to 354.86, 529.39 and 345.80 is: 515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.86 : 529.39 = 345.80 : x
  2. Step 2: Convert to fraction form
    354.86/529.39 = 345.80/x
  3. Step 3: Cross multiply
    354.86x = 529.39 × 345.80
  4. Step 4: Simplify right side
    354.86x = 183,060.42
  5. Step 5: Solve for x
    x = 183,060.42/354.86
  6. Step 6: Final answer
    x = 515.87

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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.