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Finding the Fourth Proportional to 46.58, 70.22 and 45.99

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Solution

The fourth proportional to 46.58, 70.22 and 45.99 is: 69.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.58 : 70.22 = 45.99 : x
  2. Step 2: Convert to fraction form
    46.58/70.22 = 45.99/x
  3. Step 3: Cross multiply
    46.58x = 70.22 × 45.99
  4. Step 4: Simplify right side
    46.58x = 3,229.47
  5. Step 5: Solve for x
    x = 3,229.47/46.58
  6. Step 6: Final answer
    x = 69.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.