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Finding the Fourth Proportional to 356.64, 491.84 and 225.60

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Solution

The fourth proportional to 356.64, 491.84 and 225.60 is: 311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.64 : 491.84 = 225.60 : x
  2. Step 2: Convert to fraction form
    356.64/491.84 = 225.60/x
  3. Step 3: Cross multiply
    356.64x = 491.84 × 225.60
  4. Step 4: Simplify right side
    356.64x = 110,959.10
  5. Step 5: Solve for x
    x = 110,959.10/356.64
  6. Step 6: Final answer
    x = 311.12

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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.