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Finding the Fourth Proportional to 478.24, 660.02 and 291.84

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Solution

The fourth proportional to 478.24, 660.02 and 291.84 is: 402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.24 : 660.02 = 291.84 : x
  2. Step 2: Convert to fraction form
    478.24/660.02 = 291.84/x
  3. Step 3: Cross multiply
    478.24x = 660.02 × 291.84
  4. Step 4: Simplify right side
    478.24x = 192,620.24
  5. Step 5: Solve for x
    x = 192,620.24/478.24
  6. Step 6: Final answer
    x = 402.77

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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.