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Finding the Fourth Proportional to 666.98, 1,000.15 and 228.11

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Solution

The fourth proportional to 666.98, 1,000.15 and 228.11 is: 342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.98 : 1,000.15 = 228.11 : x
  2. Step 2: Convert to fraction form
    666.98/1,000.15 = 228.11/x
  3. Step 3: Cross multiply
    666.98x = 1,000.15 × 228.11
  4. Step 4: Simplify right side
    666.98x = 228,144.22
  5. Step 5: Solve for x
    x = 228,144.22/666.98
  6. Step 6: Final answer
    x = 342.06

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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.