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Finding the Fourth Proportional to 438.15, 657.90 and 301.80

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Solution

The fourth proportional to 438.15, 657.90 and 301.80 is: 453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.15 : 657.90 = 301.80 : x
  2. Step 2: Convert to fraction form
    438.15/657.90 = 301.80/x
  3. Step 3: Cross multiply
    438.15x = 657.90 × 301.80
  4. Step 4: Simplify right side
    438.15x = 198,554.22
  5. Step 5: Solve for x
    x = 198,554.22/438.15
  6. Step 6: Final answer
    x = 453.16

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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.