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Finding the Fourth Proportional to 146.36, 219.57 and 59.64

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Solution

The fourth proportional to 146.36, 219.57 and 59.64 is: 89.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.36 : 219.57 = 59.64 : x
  2. Step 2: Convert to fraction form
    146.36/219.57 = 59.64/x
  3. Step 3: Cross multiply
    146.36x = 219.57 × 59.64
  4. Step 4: Simplify right side
    146.36x = 13,094.21
  5. Step 5: Solve for x
    x = 13,094.21/146.36
  6. Step 6: Final answer
    x = 89.47

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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.