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Finding the Fourth Proportional to 46.90, 69.99 and 40.15

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Solution

The fourth proportional to 46.90, 69.99 and 40.15 is: 59.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.90 : 69.99 = 40.15 : x
  2. Step 2: Convert to fraction form
    46.90/69.99 = 40.15/x
  3. Step 3: Cross multiply
    46.90x = 69.99 × 40.15
  4. Step 4: Simplify right side
    46.90x = 2,810.10
  5. Step 5: Solve for x
    x = 2,810.10/46.90
  6. Step 6: Final answer
    x = 59.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.