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Finding the Fourth Proportional to 305.66, 458.04 and 228.26

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Solution

The fourth proportional to 305.66, 458.04 and 228.26 is: 342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.66 : 458.04 = 228.26 : x
  2. Step 2: Convert to fraction form
    305.66/458.04 = 228.26/x
  3. Step 3: Cross multiply
    305.66x = 458.04 × 228.26
  4. Step 4: Simplify right side
    305.66x = 104,552.21
  5. Step 5: Solve for x
    x = 104,552.21/305.66
  6. Step 6: Final answer
    x = 342.05

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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.