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Finding the Fourth Proportional to 85.65, 118.16 and 52.45

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Solution

The fourth proportional to 85.65, 118.16 and 52.45 is: 72.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.65 : 118.16 = 52.45 : x
  2. Step 2: Convert to fraction form
    85.65/118.16 = 52.45/x
  3. Step 3: Cross multiply
    85.65x = 118.16 × 52.45
  4. Step 4: Simplify right side
    85.65x = 6,197.33
  5. Step 5: Solve for x
    x = 6,197.33/85.65
  6. Step 6: Final answer
    x = 72.36

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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.