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Finding the Fourth Proportional to 48.05, 65.95 and 42.59

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Solution

The fourth proportional to 48.05, 65.95 and 42.59 is: 58.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.05 : 65.95 = 42.59 : x
  2. Step 2: Convert to fraction form
    48.05/65.95 = 42.59/x
  3. Step 3: Cross multiply
    48.05x = 65.95 × 42.59
  4. Step 4: Simplify right side
    48.05x = 2,808.81
  5. Step 5: Solve for x
    x = 2,808.81/48.05
  6. Step 6: Final answer
    x = 58.46

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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.