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Finding the Fourth Proportional to 360.86, 539.23 and 352.65

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Solution

The fourth proportional to 360.86, 539.23 and 352.65 is: 526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.86 : 539.23 = 352.65 : x
  2. Step 2: Convert to fraction form
    360.86/539.23 = 352.65/x
  3. Step 3: Cross multiply
    360.86x = 539.23 × 352.65
  4. Step 4: Simplify right side
    360.86x = 190,162.25
  5. Step 5: Solve for x
    x = 190,162.25/360.86
  6. Step 6: Final answer
    x = 526.98

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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.