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Finding the Fourth Proportional to 360.65, 536.88 and 343.88

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Solution

The fourth proportional to 360.65, 536.88 and 343.88 is: 511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.65 : 536.88 = 343.88 : x
  2. Step 2: Convert to fraction form
    360.65/536.88 = 343.88/x
  3. Step 3: Cross multiply
    360.65x = 536.88 × 343.88
  4. Step 4: Simplify right side
    360.65x = 184,622.29
  5. Step 5: Solve for x
    x = 184,622.29/360.65
  6. Step 6: Final answer
    x = 511.92

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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.