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Finding the Fourth Proportional to 438.49, 657.31 and 175.10

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Solution

The fourth proportional to 438.49, 657.31 and 175.10 is: 262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.49 : 657.31 = 175.10 : x
  2. Step 2: Convert to fraction form
    438.49/657.31 = 175.10/x
  3. Step 3: Cross multiply
    438.49x = 657.31 × 175.10
  4. Step 4: Simplify right side
    438.49x = 115,095.20
  5. Step 5: Solve for x
    x = 115,095.20/438.49
  6. Step 6: Final answer
    x = 262.48

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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.