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Finding the Fourth Proportional to 305.60, 457.44 and 228.12

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Solution

The fourth proportional to 305.60, 457.44 and 228.12 is: 341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.60 : 457.44 = 228.12 : x
  2. Step 2: Convert to fraction form
    305.60/457.44 = 228.12/x
  3. Step 3: Cross multiply
    305.60x = 457.44 × 228.12
  4. Step 4: Simplify right side
    305.60x = 104,351.21
  5. Step 5: Solve for x
    x = 104,351.21/305.60
  6. Step 6: Final answer
    x = 341.46

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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.