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Finding the Fourth Proportional to 333.65, 501.19 and 282.39

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Solution

The fourth proportional to 333.65, 501.19 and 282.39 is: 424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.65 : 501.19 = 282.39 : x
  2. Step 2: Convert to fraction form
    333.65/501.19 = 282.39/x
  3. Step 3: Cross multiply
    333.65x = 501.19 × 282.39
  4. Step 4: Simplify right side
    333.65x = 141,531.04
  5. Step 5: Solve for x
    x = 141,531.04/333.65
  6. Step 6: Final answer
    x = 424.20

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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.