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Finding the Fourth Proportional to 62.86, 86.60 and 46.46

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Solution

The fourth proportional to 62.86, 86.60 and 46.46 is: 64.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.86 : 86.60 = 46.46 : x
  2. Step 2: Convert to fraction form
    62.86/86.60 = 46.46/x
  3. Step 3: Cross multiply
    62.86x = 86.60 × 46.46
  4. Step 4: Simplify right side
    62.86x = 4,023.44
  5. Step 5: Solve for x
    x = 4,023.44/62.86
  6. Step 6: Final answer
    x = 64.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.