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Finding the Fourth Proportional to 438.56, 657.99 and 316.46

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Solution

The fourth proportional to 438.56, 657.99 and 316.46 is: 474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 657.99 = 316.46 : x
  2. Step 2: Convert to fraction form
    438.56/657.99 = 316.46/x
  3. Step 3: Cross multiply
    438.56x = 657.99 × 316.46
  4. Step 4: Simplify right side
    438.56x = 208,227.52
  5. Step 5: Solve for x
    x = 208,227.52/438.56
  6. Step 6: Final answer
    x = 474.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.