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Finding the Fourth Proportional to 360.10, 536.26 and 347.94

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Solution

The fourth proportional to 360.10, 536.26 and 347.94 is: 518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.10 : 536.26 = 347.94 : x
  2. Step 2: Convert to fraction form
    360.10/536.26 = 347.94/x
  3. Step 3: Cross multiply
    360.10x = 536.26 × 347.94
  4. Step 4: Simplify right side
    360.10x = 186,586.30
  5. Step 5: Solve for x
    x = 186,586.30/360.10
  6. Step 6: Final answer
    x = 518.15

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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.