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Finding the Fourth Proportional to 487.21, 730.75 and 162.58

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Solution

The fourth proportional to 487.21, 730.75 and 162.58 is: 243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.21 : 730.75 = 162.58 : x
  2. Step 2: Convert to fraction form
    487.21/730.75 = 162.58/x
  3. Step 3: Cross multiply
    487.21x = 730.75 × 162.58
  4. Step 4: Simplify right side
    487.21x = 118,805.34
  5. Step 5: Solve for x
    x = 118,805.34/487.21
  6. Step 6: Final answer
    x = 243.85

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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.