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Finding the Fourth Proportional to 146.50, 218.65 and 145.06

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Solution

The fourth proportional to 146.50, 218.65 and 145.06 is: 216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.50 : 218.65 = 145.06 : x
  2. Step 2: Convert to fraction form
    146.50/218.65 = 145.06/x
  3. Step 3: Cross multiply
    146.50x = 218.65 × 145.06
  4. Step 4: Simplify right side
    146.50x = 31,717.37
  5. Step 5: Solve for x
    x = 31,717.37/146.50
  6. Step 6: Final answer
    x = 216.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.