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Finding the Fourth Proportional to 478.10, 659.66 and 289.15

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Solution

The fourth proportional to 478.10, 659.66 and 289.15 is: 398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.10 : 659.66 = 289.15 : x
  2. Step 2: Convert to fraction form
    478.10/659.66 = 289.15/x
  3. Step 3: Cross multiply
    478.10x = 659.66 × 289.15
  4. Step 4: Simplify right side
    478.10x = 190,737.59
  5. Step 5: Solve for x
    x = 190,737.59/478.10
  6. Step 6: Final answer
    x = 398.95

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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.