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Finding the Fourth Proportional to 301.77, 453.15 and 147.78

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Solution

The fourth proportional to 301.77, 453.15 and 147.78 is: 221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.77 : 453.15 = 147.78 : x
  2. Step 2: Convert to fraction form
    301.77/453.15 = 147.78/x
  3. Step 3: Cross multiply
    301.77x = 453.15 × 147.78
  4. Step 4: Simplify right side
    301.77x = 66,966.51
  5. Step 5: Solve for x
    x = 66,966.51/301.77
  6. Step 6: Final answer
    x = 221.91

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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.