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Finding the Fourth Proportional to 478.41, 660.06 and 312.57

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Solution

The fourth proportional to 478.41, 660.06 and 312.57 is: 431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.41 : 660.06 = 312.57 : x
  2. Step 2: Convert to fraction form
    478.41/660.06 = 312.57/x
  3. Step 3: Cross multiply
    478.41x = 660.06 × 312.57
  4. Step 4: Simplify right side
    478.41x = 206,314.95
  5. Step 5: Solve for x
    x = 206,314.95/478.41
  6. Step 6: Final answer
    x = 431.25

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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.