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Finding the Fourth Proportional to 493.19, 738.07 and 348.65

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Solution

The fourth proportional to 493.19, 738.07 and 348.65 is: 521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.19 : 738.07 = 348.65 : x
  2. Step 2: Convert to fraction form
    493.19/738.07 = 348.65/x
  3. Step 3: Cross multiply
    493.19x = 738.07 × 348.65
  4. Step 4: Simplify right side
    493.19x = 257,328.11
  5. Step 5: Solve for x
    x = 257,328.11/493.19
  6. Step 6: Final answer
    x = 521.76

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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.