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Finding the Fourth Proportional to 360.18, 536.64 and 347.16

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Solution

The fourth proportional to 360.18, 536.64 and 347.16 is: 517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.18 : 536.64 = 347.16 : x
  2. Step 2: Convert to fraction form
    360.18/536.64 = 347.16/x
  3. Step 3: Cross multiply
    360.18x = 536.64 × 347.16
  4. Step 4: Simplify right side
    360.18x = 186,299.94
  5. Step 5: Solve for x
    x = 186,299.94/360.18
  6. Step 6: Final answer
    x = 517.24

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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.