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Finding the Fourth Proportional to 354.72, 531.44 and 347.04

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Solution

The fourth proportional to 354.72, 531.44 and 347.04 is: 519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.72 : 531.44 = 347.04 : x
  2. Step 2: Convert to fraction form
    354.72/531.44 = 347.04/x
  3. Step 3: Cross multiply
    354.72x = 531.44 × 347.04
  4. Step 4: Simplify right side
    354.72x = 184,430.94
  5. Step 5: Solve for x
    x = 184,430.94/354.72
  6. Step 6: Final answer
    x = 519.93

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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.