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Finding the Fourth Proportional to 42.50, 58.20 and 41.16

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Solution

The fourth proportional to 42.50, 58.20 and 41.16 is: 56.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.50 : 58.20 = 41.16 : x
  2. Step 2: Convert to fraction form
    42.50/58.20 = 41.16/x
  3. Step 3: Cross multiply
    42.50x = 58.20 × 41.16
  4. Step 4: Simplify right side
    42.50x = 2,395.51
  5. Step 5: Solve for x
    x = 2,395.51/42.50
  6. Step 6: Final answer
    x = 56.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.