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Finding the Fourth Proportional to 492.19, 736.58 and 347.65

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Solution

The fourth proportional to 492.19, 736.58 and 347.65 is: 520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.19 : 736.58 = 347.65 : x
  2. Step 2: Convert to fraction form
    492.19/736.58 = 347.65/x
  3. Step 3: Cross multiply
    492.19x = 736.58 × 347.65
  4. Step 4: Simplify right side
    492.19x = 256,070.30
  5. Step 5: Solve for x
    x = 256,070.30/492.19
  6. Step 6: Final answer
    x = 520.27

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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.