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Finding the Fourth Proportional to 353.74, 527.77 and 314.76

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Solution

The fourth proportional to 353.74, 527.77 and 314.76 is: 469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.74 : 527.77 = 314.76 : x
  2. Step 2: Convert to fraction form
    353.74/527.77 = 314.76/x
  3. Step 3: Cross multiply
    353.74x = 527.77 × 314.76
  4. Step 4: Simplify right side
    353.74x = 166,118.12
  5. Step 5: Solve for x
    x = 166,118.12/353.74
  6. Step 6: Final answer
    x = 469.61

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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.