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Finding the Fourth Proportional to 444.10, 666.17 and 228.10

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Solution

The fourth proportional to 444.10, 666.17 and 228.10 is: 342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.10 : 666.17 = 228.10 : x
  2. Step 2: Convert to fraction form
    444.10/666.17 = 228.10/x
  3. Step 3: Cross multiply
    444.10x = 666.17 × 228.10
  4. Step 4: Simplify right side
    444.10x = 151,953.38
  5. Step 5: Solve for x
    x = 151,953.38/444.10
  6. Step 6: Final answer
    x = 342.16

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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.