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Finding the Fourth Proportional to 46.61, 69.74 and 38.93

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Solution

The fourth proportional to 46.61, 69.74 and 38.93 is: 58.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.61 : 69.74 = 38.93 : x
  2. Step 2: Convert to fraction form
    46.61/69.74 = 38.93/x
  3. Step 3: Cross multiply
    46.61x = 69.74 × 38.93
  4. Step 4: Simplify right side
    46.61x = 2,714.43
  5. Step 5: Solve for x
    x = 2,714.43/46.61
  6. Step 6: Final answer
    x = 58.24

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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.