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Finding the Fourth Proportional to 262.64, 393.76 and 147.02

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Solution

The fourth proportional to 262.64, 393.76 and 147.02 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 393.76 = 147.02 : x
  2. Step 2: Convert to fraction form
    262.64/393.76 = 147.02/x
  3. Step 3: Cross multiply
    262.64x = 393.76 × 147.02
  4. Step 4: Simplify right side
    262.64x = 57,888.81
  5. Step 5: Solve for x
    x = 57,888.81/262.64
  6. Step 6: Final answer
    x = 220.41

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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.