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Finding the Fourth Proportional to 245.11, 368.01 and 147.76

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Solution

The fourth proportional to 245.11, 368.01 and 147.76 is: 221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.11 : 368.01 = 147.76 : x
  2. Step 2: Convert to fraction form
    245.11/368.01 = 147.76/x
  3. Step 3: Cross multiply
    245.11x = 368.01 × 147.76
  4. Step 4: Simplify right side
    245.11x = 54,377.16
  5. Step 5: Solve for x
    x = 54,377.16/245.11
  6. Step 6: Final answer
    x = 221.85

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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.