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Finding the Fourth Proportional to 52.03, 71.75 and 42.20

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Solution

The fourth proportional to 52.03, 71.75 and 42.20 is: 58.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.03 : 71.75 = 42.20 : x
  2. Step 2: Convert to fraction form
    52.03/71.75 = 42.20/x
  3. Step 3: Cross multiply
    52.03x = 71.75 × 42.20
  4. Step 4: Simplify right side
    52.03x = 3,027.49
  5. Step 5: Solve for x
    x = 3,027.49/52.03
  6. Step 6: Final answer
    x = 58.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.