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Finding the Fourth Proportional to 30.10, 44.20 and 30.10

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Solution

The fourth proportional to 30.10, 44.20 and 30.10 is: 44.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.10 : 44.20 = 30.10 : x
  2. Step 2: Convert to fraction form
    30.10/44.20 = 30.10/x
  3. Step 3: Cross multiply
    30.10x = 44.20 × 30.10
  4. Step 4: Simplify right side
    30.10x = 1,330.42
  5. Step 5: Solve for x
    x = 1,330.42/30.10
  6. Step 6: Final answer
    x = 44.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.