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Finding the Fourth Proportional to 39.46, 59.19 and 17.77

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Solution

The fourth proportional to 39.46, 59.19 and 17.77 is: 26.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.46 : 59.19 = 17.77 : x
  2. Step 2: Convert to fraction form
    39.46/59.19 = 17.77/x
  3. Step 3: Cross multiply
    39.46x = 59.19 × 17.77
  4. Step 4: Simplify right side
    39.46x = 1,051.81
  5. Step 5: Solve for x
    x = 1,051.81/39.46
  6. Step 6: Final answer
    x = 26.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.