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Finding the Fourth Proportional to 469.07, 647.31 and 262.07

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Solution

The fourth proportional to 469.07, 647.31 and 262.07 is: 361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.07 : 647.31 = 262.07 : x
  2. Step 2: Convert to fraction form
    469.07/647.31 = 262.07/x
  3. Step 3: Cross multiply
    469.07x = 647.31 × 262.07
  4. Step 4: Simplify right side
    469.07x = 169,635.98
  5. Step 5: Solve for x
    x = 169,635.98/469.07
  6. Step 6: Final answer
    x = 361.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.