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Finding the Fourth Proportional to 49.22, 73.40 and 47.10

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Solution

The fourth proportional to 49.22, 73.40 and 47.10 is: 70.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.22 : 73.40 = 47.10 : x
  2. Step 2: Convert to fraction form
    49.22/73.40 = 47.10/x
  3. Step 3: Cross multiply
    49.22x = 73.40 × 47.10
  4. Step 4: Simplify right side
    49.22x = 3,457.14
  5. Step 5: Solve for x
    x = 3,457.14/49.22
  6. Step 6: Final answer
    x = 70.24

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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.