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Finding the Fourth Proportional to 383.20, 498.70 and 383.20

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Solution

The fourth proportional to 383.20, 498.70 and 383.20 is: 498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.20 : 498.70 = 383.20 : x
  2. Step 2: Convert to fraction form
    383.20/498.70 = 383.20/x
  3. Step 3: Cross multiply
    383.20x = 498.70 × 383.20
  4. Step 4: Simplify right side
    383.20x = 191,101.84
  5. Step 5: Solve for x
    x = 191,101.84/383.20
  6. Step 6: Final answer
    x = 498.70

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.