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Finding the Fourth Proportional to 52.17, 71.54 and 49.34

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Solution

The fourth proportional to 52.17, 71.54 and 49.34 is: 67.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.17 : 71.54 = 49.34 : x
  2. Step 2: Convert to fraction form
    52.17/71.54 = 49.34/x
  3. Step 3: Cross multiply
    52.17x = 71.54 × 49.34
  4. Step 4: Simplify right side
    52.17x = 3,529.18
  5. Step 5: Solve for x
    x = 3,529.18/52.17
  6. Step 6: Final answer
    x = 67.65

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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.