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Finding the Fourth Proportional to 478.26, 659.25 and 312.39

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Solution

The fourth proportional to 478.26, 659.25 and 312.39 is: 430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.26 : 659.25 = 312.39 : x
  2. Step 2: Convert to fraction form
    478.26/659.25 = 312.39/x
  3. Step 3: Cross multiply
    478.26x = 659.25 × 312.39
  4. Step 4: Simplify right side
    478.26x = 205,943.11
  5. Step 5: Solve for x
    x = 205,943.11/478.26
  6. Step 6: Final answer
    x = 430.61

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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.