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Finding the Fourth Proportional to 42.18, 62.90 and 36.06

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Solution

The fourth proportional to 42.18, 62.90 and 36.06 is: 53.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.18 : 62.90 = 36.06 : x
  2. Step 2: Convert to fraction form
    42.18/62.90 = 36.06/x
  3. Step 3: Cross multiply
    42.18x = 62.90 × 36.06
  4. Step 4: Simplify right side
    42.18x = 2,267.99
  5. Step 5: Solve for x
    x = 2,267.99/42.18
  6. Step 6: Final answer
    x = 53.77

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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.