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Finding the Fourth Proportional to 438.43, 657.72 and 145.99

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Solution

The fourth proportional to 438.43, 657.72 and 145.99 is: 219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.43 : 657.72 = 145.99 : x
  2. Step 2: Convert to fraction form
    438.43/657.72 = 145.99/x
  3. Step 3: Cross multiply
    438.43x = 657.72 × 145.99
  4. Step 4: Simplify right side
    438.43x = 96,020.54
  5. Step 5: Solve for x
    x = 96,020.54/438.43
  6. Step 6: Final answer
    x = 219.01

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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.