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Finding the Fourth Proportional to 488, 732.48 and 260.48

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Solution

The fourth proportional to 488, 732.48 and 260.48 is: 390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    488 : 732.48 = 260.48 : x
  2. Step 2: Convert to fraction form
    488/732.48 = 260.48/x
  3. Step 3: Cross multiply
    488x = 732.48 × 260.48
  4. Step 4: Simplify right side
    488x = 190,796.39
  5. Step 5: Solve for x
    x = 190,796.39/488
  6. Step 6: Final answer
    x = 390.98

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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.