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Finding the Fourth Proportional to 333.48, 498.87 and 288.31

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Solution

The fourth proportional to 333.48, 498.87 and 288.31 is: 431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.48 : 498.87 = 288.31 : x
  2. Step 2: Convert to fraction form
    333.48/498.87 = 288.31/x
  3. Step 3: Cross multiply
    333.48x = 498.87 × 288.31
  4. Step 4: Simplify right side
    333.48x = 143,829.21
  5. Step 5: Solve for x
    x = 143,829.21/333.48
  6. Step 6: Final answer
    x = 431.30

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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.