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Finding the Fourth Proportional to 63.16, 94.58 and 46.89

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Solution

The fourth proportional to 63.16, 94.58 and 46.89 is: 70.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.16 : 94.58 = 46.89 : x
  2. Step 2: Convert to fraction form
    63.16/94.58 = 46.89/x
  3. Step 3: Cross multiply
    63.16x = 94.58 × 46.89
  4. Step 4: Simplify right side
    63.16x = 4,434.15
  5. Step 5: Solve for x
    x = 4,434.15/63.16
  6. Step 6: Final answer
    x = 70.21

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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.