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Finding the Fourth Proportional to 344.79, 476.70 and 261.77

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Solution

The fourth proportional to 344.79, 476.70 and 261.77 is: 361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.79 : 476.70 = 261.77 : x
  2. Step 2: Convert to fraction form
    344.79/476.70 = 261.77/x
  3. Step 3: Cross multiply
    344.79x = 476.70 × 261.77
  4. Step 4: Simplify right side
    344.79x = 124,785.76
  5. Step 5: Solve for x
    x = 124,785.76/344.79
  6. Step 6: Final answer
    x = 361.92

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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.