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Finding the Fourth Proportional to 148.05, 220.86 and 145.53

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Solution

The fourth proportional to 148.05, 220.86 and 145.53 is: 217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.05 : 220.86 = 145.53 : x
  2. Step 2: Convert to fraction form
    148.05/220.86 = 145.53/x
  3. Step 3: Cross multiply
    148.05x = 220.86 × 145.53
  4. Step 4: Simplify right side
    148.05x = 32,141.76
  5. Step 5: Solve for x
    x = 32,141.76/148.05
  6. Step 6: Final answer
    x = 217.10

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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.