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Finding the Fourth Proportional to 52.00, 71.54 and 40.86

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Solution

The fourth proportional to 52.00, 71.54 and 40.86 is: 56.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.00 : 71.54 = 40.86 : x
  2. Step 2: Convert to fraction form
    52.00/71.54 = 40.86/x
  3. Step 3: Cross multiply
    52.00x = 71.54 × 40.86
  4. Step 4: Simplify right side
    52.00x = 2,922.92
  5. Step 5: Solve for x
    x = 2,922.92/52.00
  6. Step 6: Final answer
    x = 56.21

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Why These Related Problems?

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