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Finding the Fourth Proportional to 379.40, 565.39 and 368.85

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Solution

The fourth proportional to 379.40, 565.39 and 368.85 is: 549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.40 : 565.39 = 368.85 : x
  2. Step 2: Convert to fraction form
    379.40/565.39 = 368.85/x
  3. Step 3: Cross multiply
    379.40x = 565.39 × 368.85
  4. Step 4: Simplify right side
    379.40x = 208,539.43
  5. Step 5: Solve for x
    x = 208,539.43/379.40
  6. Step 6: Final answer
    x = 549.66

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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.