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Finding the Fourth Proportional to 141.47, 212.23 and 64.42

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Solution

The fourth proportional to 141.47, 212.23 and 64.42 is: 96.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.47 : 212.23 = 64.42 : x
  2. Step 2: Convert to fraction form
    141.47/212.23 = 64.42/x
  3. Step 3: Cross multiply
    141.47x = 212.23 × 64.42
  4. Step 4: Simplify right side
    141.47x = 13,671.86
  5. Step 5: Solve for x
    x = 13,671.86/141.47
  6. Step 6: Final answer
    x = 96.64

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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.