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Finding the Fourth Proportional to 261.64, 389.86 and 232.92

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Solution

The fourth proportional to 261.64, 389.86 and 232.92 is: 347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.64 : 389.86 = 232.92 : x
  2. Step 2: Convert to fraction form
    261.64/389.86 = 232.92/x
  3. Step 3: Cross multiply
    261.64x = 389.86 × 232.92
  4. Step 4: Simplify right side
    261.64x = 90,806.19
  5. Step 5: Solve for x
    x = 90,806.19/261.64
  6. Step 6: Final answer
    x = 347.07

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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.