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Finding the Fourth Proportional to 264.66, 397.05 and 142.89

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Solution

The fourth proportional to 264.66, 397.05 and 142.89 is: 214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.66 : 397.05 = 142.89 : x
  2. Step 2: Convert to fraction form
    264.66/397.05 = 142.89/x
  3. Step 3: Cross multiply
    264.66x = 397.05 × 142.89
  4. Step 4: Simplify right side
    264.66x = 56,734.47
  5. Step 5: Solve for x
    x = 56,734.47/264.66
  6. Step 6: Final answer
    x = 214.37

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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.