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Finding the Fourth Proportional to 90.31, 135.74 and 60.06

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Solution

The fourth proportional to 90.31, 135.74 and 60.06 is: 90.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.31 : 135.74 = 60.06 : x
  2. Step 2: Convert to fraction form
    90.31/135.74 = 60.06/x
  3. Step 3: Cross multiply
    90.31x = 135.74 × 60.06
  4. Step 4: Simplify right side
    90.31x = 8,152.54
  5. Step 5: Solve for x
    x = 8,152.54/90.31
  6. Step 6: Final answer
    x = 90.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.