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Finding the Fourth Proportional to 262.02, 390.96 and 232.64

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Solution

The fourth proportional to 262.02, 390.96 and 232.64 is: 347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.02 : 390.96 = 232.64 : x
  2. Step 2: Convert to fraction form
    262.02/390.96 = 232.64/x
  3. Step 3: Cross multiply
    262.02x = 390.96 × 232.64
  4. Step 4: Simplify right side
    262.02x = 90,950.98
  5. Step 5: Solve for x
    x = 90,950.98/262.02
  6. Step 6: Final answer
    x = 347.11

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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.