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Finding the Fourth Proportional to 333.48, 498 and 260.52

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Solution

The fourth proportional to 333.48, 498 and 260.52 is: 389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.48 : 498 = 260.52 : x
  2. Step 2: Convert to fraction form
    333.48/498 = 260.52/x
  3. Step 3: Cross multiply
    333.48x = 498 × 260.52
  4. Step 4: Simplify right side
    333.48x = 129,738.96
  5. Step 5: Solve for x
    x = 129,738.96/333.48
  6. Step 6: Final answer
    x = 389.05

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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.