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Finding the Fourth Proportional to 360.53, 540.98 and 257.69

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Solution

The fourth proportional to 360.53, 540.98 and 257.69 is: 386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.53 : 540.98 = 257.69 : x
  2. Step 2: Convert to fraction form
    360.53/540.98 = 257.69/x
  3. Step 3: Cross multiply
    360.53x = 540.98 × 257.69
  4. Step 4: Simplify right side
    360.53x = 139,401.14
  5. Step 5: Solve for x
    x = 139,401.14/360.53
  6. Step 6: Final answer
    x = 386.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.