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Finding the Fourth Proportional to 85.20, 117.51 and 60.30

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Solution

The fourth proportional to 85.20, 117.51 and 60.30 is: 83.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.20 : 117.51 = 60.30 : x
  2. Step 2: Convert to fraction form
    85.20/117.51 = 60.30/x
  3. Step 3: Cross multiply
    85.20x = 117.51 × 60.30
  4. Step 4: Simplify right side
    85.20x = 7,085.85
  5. Step 5: Solve for x
    x = 7,085.85/85.20
  6. Step 6: Final answer
    x = 83.17

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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.