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Finding the Fourth Proportional to 333.18, 500.33 and 278.28

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Solution

The fourth proportional to 333.18, 500.33 and 278.28 is: 417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.18 : 500.33 = 278.28 : x
  2. Step 2: Convert to fraction form
    333.18/500.33 = 278.28/x
  3. Step 3: Cross multiply
    333.18x = 500.33 × 278.28
  4. Step 4: Simplify right side
    333.18x = 139,232.53
  5. Step 5: Solve for x
    x = 139,232.53/333.18
  6. Step 6: Final answer
    x = 417.89

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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.