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Finding the Fourth Proportional to 379.48, 565.96 and 360.40

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Solution

The fourth proportional to 379.48, 565.96 and 360.40 is: 537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.48 : 565.96 = 360.40 : x
  2. Step 2: Convert to fraction form
    379.48/565.96 = 360.40/x
  3. Step 3: Cross multiply
    379.48x = 565.96 × 360.40
  4. Step 4: Simplify right side
    379.48x = 203,971.98
  5. Step 5: Solve for x
    x = 203,971.98/379.48
  6. Step 6: Final answer
    x = 537.50

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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.