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Finding the Fourth Proportional to 46, 69 and 45.40

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Solution

The fourth proportional to 46, 69 and 45.40 is: 68.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46 : 69 = 45.40 : x
  2. Step 2: Convert to fraction form
    46/69 = 45.40/x
  3. Step 3: Cross multiply
    46x = 69 × 45.40
  4. Step 4: Simplify right side
    46x = 3,132.60
  5. Step 5: Solve for x
    x = 3,132.60/46
  6. Step 6: Final answer
    x = 68.10

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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.