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Finding the Fourth Proportional to 478.31, 660.05 and 281.81

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Solution

The fourth proportional to 478.31, 660.05 and 281.81 is: 388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.31 : 660.05 = 281.81 : x
  2. Step 2: Convert to fraction form
    478.31/660.05 = 281.81/x
  3. Step 3: Cross multiply
    478.31x = 660.05 × 281.81
  4. Step 4: Simplify right side
    478.31x = 186,009.99
  5. Step 5: Solve for x
    x = 186,009.99/478.31
  6. Step 6: Final answer
    x = 388.89

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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.