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Finding the Fourth Proportional to 350.64, 483.60 and 257.28

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Solution

The fourth proportional to 350.64, 483.60 and 257.28 is: 354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.64 : 483.60 = 257.28 : x
  2. Step 2: Convert to fraction form
    350.64/483.60 = 257.28/x
  3. Step 3: Cross multiply
    350.64x = 483.60 × 257.28
  4. Step 4: Simplify right side
    350.64x = 124,420.61
  5. Step 5: Solve for x
    x = 124,420.61/350.64
  6. Step 6: Final answer
    x = 354.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.