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Finding the Fourth Proportional to 147.53, 219.62 and 146.76

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Solution

The fourth proportional to 147.53, 219.62 and 146.76 is: 218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.53 : 219.62 = 146.76 : x
  2. Step 2: Convert to fraction form
    147.53/219.62 = 146.76/x
  3. Step 3: Cross multiply
    147.53x = 219.62 × 146.76
  4. Step 4: Simplify right side
    147.53x = 32,231.43
  5. Step 5: Solve for x
    x = 32,231.43/147.53
  6. Step 6: Final answer
    x = 218.47

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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.