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Finding the Fourth Proportional to 347.84, 476.48 and 344

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Solution

The fourth proportional to 347.84, 476.48 and 344 is: 471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 476.48 = 344 : x
  2. Step 2: Convert to fraction form
    347.84/476.48 = 344/x
  3. Step 3: Cross multiply
    347.84x = 476.48 × 344
  4. Step 4: Simplify right side
    347.84x = 163,909.12
  5. Step 5: Solve for x
    x = 163,909.12/347.84
  6. Step 6: Final answer
    x = 471.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.