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Finding the Fourth Proportional to 460.20, 634.46 and 312.58

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Solution

The fourth proportional to 460.20, 634.46 and 312.58 is: 430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.20 : 634.46 = 312.58 : x
  2. Step 2: Convert to fraction form
    460.20/634.46 = 312.58/x
  3. Step 3: Cross multiply
    460.20x = 634.46 × 312.58
  4. Step 4: Simplify right side
    460.20x = 198,319.51
  5. Step 5: Solve for x
    x = 198,319.51/460.20
  6. Step 6: Final answer
    x = 430.94

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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.