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Finding the Fourth Proportional to 493.39, 740.18 and 310.57

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Solution

The fourth proportional to 493.39, 740.18 and 310.57 is: 465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.39 : 740.18 = 310.57 : x
  2. Step 2: Convert to fraction form
    493.39/740.18 = 310.57/x
  3. Step 3: Cross multiply
    493.39x = 740.18 × 310.57
  4. Step 4: Simplify right side
    493.39x = 229,876.63
  5. Step 5: Solve for x
    x = 229,876.63/493.39
  6. Step 6: Final answer
    x = 465.91

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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.