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Finding the Fourth Proportional to 51.66, 71.26 and 30.93

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Solution

The fourth proportional to 51.66, 71.26 and 30.93 is: 42.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.66 : 71.26 = 30.93 : x
  2. Step 2: Convert to fraction form
    51.66/71.26 = 30.93/x
  3. Step 3: Cross multiply
    51.66x = 71.26 × 30.93
  4. Step 4: Simplify right side
    51.66x = 2,204.07
  5. Step 5: Solve for x
    x = 2,204.07/51.66
  6. Step 6: Final answer
    x = 42.66

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