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Finding the Fourth Proportional to 354.75, 529.04 and 315.42

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Solution

The fourth proportional to 354.75, 529.04 and 315.42 is: 470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.75 : 529.04 = 315.42 : x
  2. Step 2: Convert to fraction form
    354.75/529.04 = 315.42/x
  3. Step 3: Cross multiply
    354.75x = 529.04 × 315.42
  4. Step 4: Simplify right side
    354.75x = 166,869.40
  5. Step 5: Solve for x
    x = 166,869.40/354.75
  6. Step 6: Final answer
    x = 470.39

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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.