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Finding the Fourth Proportional to 477.96, 660.21 and 368.79

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Solution

The fourth proportional to 477.96, 660.21 and 368.79 is: 509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.96 : 660.21 = 368.79 : x
  2. Step 2: Convert to fraction form
    477.96/660.21 = 368.79/x
  3. Step 3: Cross multiply
    477.96x = 660.21 × 368.79
  4. Step 4: Simplify right side
    477.96x = 243,478.85
  5. Step 5: Solve for x
    x = 243,478.85/477.96
  6. Step 6: Final answer
    x = 509.41

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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.