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Finding the Fourth Proportional to 303.48, 419.58 and 225.72

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Solution

The fourth proportional to 303.48, 419.58 and 225.72 is: 312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.48 : 419.58 = 225.72 : x
  2. Step 2: Convert to fraction form
    303.48/419.58 = 225.72/x
  3. Step 3: Cross multiply
    303.48x = 419.58 × 225.72
  4. Step 4: Simplify right side
    303.48x = 94,707.60
  5. Step 5: Solve for x
    x = 94,707.60/303.48
  6. Step 6: Final answer
    x = 312.07

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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.