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Finding the Fourth Proportional to 478.78, 660.78 and 362.14

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Solution

The fourth proportional to 478.78, 660.78 and 362.14 is: 499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.78 : 660.78 = 362.14 : x
  2. Step 2: Convert to fraction form
    478.78/660.78 = 362.14/x
  3. Step 3: Cross multiply
    478.78x = 660.78 × 362.14
  4. Step 4: Simplify right side
    478.78x = 239,294.87
  5. Step 5: Solve for x
    x = 239,294.87/478.78
  6. Step 6: Final answer
    x = 499.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.